Class 7 Exponents And Powers CBSE Questions & Answers

Class 7 · Exponents And Powers

This is Mathematics Class 7 Exponents and Powers CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The standard form of 9641.76 is ________.
  • A
    \({\text{9}}.{\text{64176 }} \times {\text{ 1}}{0^{\text{3}}}\)
    Correct
  • B
    None of these
  • C
    \({\text{9}}.{\text{64176 }} \times {\text{ 1}}{0^{\text{2}}}\)
  • D
    \({\text{9}}.{\text{64176 }} \times {\text{ 1}}{0^{\text{4}}}\)
2
The value of \({\left( { - {\text{4}}} \right)^{{\text{3}} \times {\text{5 }} - {\text{ 6}} - {\text{9}}}}\)is __________.
  • A
    4
  • B
    1
    Correct
  • C
    -4
  • D
    None of these
3
Simplify: \(\frac{{{3^2} \times {4^5} \times {x^4}}}{{{3^4} \times {4^3} \times {x^9}}}\).
  • A
    \(\frac{{{4^2}}}{{{3^2} \times {x^5}}}\)
    Correct
  • B
    \({{\text{4}}^{\text{2}}}\)
  • C
    \({{\text{3}}^{\text{2}}}\)
  • D
    None of these
4
Simplify and write the answer in exponential form. \({\left( {{{\text{5}}^{{\text{32}}}}} \right)^{\text{5}}}\)
  • A
    \({{\text{5}}^{{\text{32}}}}\)
  • B
    None of these
  • C
    \({{\text{5}}^{{\text{16}}0}}\)
    Correct
  • D
    \({{\text{5}}^{\text{5}}}\)
5
Simplify and write the answer in exponential form. \({\left( {{{\text{2}}^{{\text{64}}}}} \right)^{\text{5}}}\)
  • A
    \({{\text{2}}^{{\text{64}}}}\)
  • B
    \({{\text{2}}^{{\text{32}}0}}\)
    Correct
  • C
    \({{\text{2}}^{\text{5}}}\)
  • D
    None of these
6
Express the number appearing in the following statements in standard form. The distance between Earth and Moon is 384,000,000 m.
  • A
    None of these
  • B
    \({\text{3}}.{\text{84 }} \times {\text{ 1}}{0^{\text{9}}}\)m
  • C
    \({\text{3}}.{\text{84 }} \times {\text{ 1}}{0^{\text{8}}}\)m
    Correct
  • D
    \({\text{3}}.{\text{84 }} \times {\text{ 1}}{0^{\text{7}}}\)m
7
Express the number appearing in the following statements in standard form. Speed of light in vacuum is 300,000,000 m/s.
  • A
    \({\text{3 }} \times {\text{ 1}}{0^{\text{6}}}\)m/s
  • B
    \({\text{3 }} \times {\text{ 1}}{0^{\text{9}}}\)m/s
  • C
    \({\text{3 }} \times {\text{ 1}}{0^{\text{7}}}\)m/s
  • D
    \({\text{3 }} \times {\text{ 1}}{0^{\text{8}}}\)m/s
    Correct
8
Simplify: \({2^3} \times {2^2} \times {5^5}\)
  • A
    \({\text{1}}{0^{\text{7}}}\)
  • B
    \({\text{1}}{0^{\text{6}}}\)
  • C
    \({\text{1}}{0^{\text{5}}}\)
    Correct
  • D
    \({\text{1}}{0^{\text{8}}}\)
9
Find the value of\({\left( {{{\text{4}}^{\text{2}}}} \right)^{\text{5}}}\).
  • A
    \({{\text{4}}^{\text{9}}}\)
  • B
    \({{\text{4}}^{{\text{1}}0}}\)
    Correct
  • C
    \({{\text{4}}^{{\text{11}}}}\)
  • D
    \({{\text{4}}^{\text{3}}}\)
10
Simplify: \(\left( {{{\text{2}}^{{\text{2}}0}} \div {\text{ }}{{\text{2}}^{{\text{15}}}}} \right){\text{ }} \times {\text{ }}{{\text{2}}^{\text{3}}}\).
  • A
    32
  • B
    64
  • C
    256
    Correct
  • D
    128
11
Find the number from the following expanded form: \({\text{8 }} \times {\text{1}}{0^{\text{4}}} + {\text{ 6 }} \times {\text{1}}{0^{\text{3}}} + {\text{ }}0 \times {\text{1}}{0^{\text{2}}} + {\text{ 4}} \times {\text{1}}{0^{\text{1}}} + {\text{ 5}} \times {\text{1}}{0^0}\)
  • A
    80045
  • B
    86054
  • C
    96045
  • D
    86045
    Correct
12
\({a^x} \div {\text{ }}{b^x} = {\text{ }}\_\_\_\_\_\_\)
  • A
    \({\left( {\frac{a}{b}} \right)^x}\)
    Correct
  • B
    \({{\text{a}}^{\text{x}}}{{\text{b}}^{\text{x}}}\)
  • C
    \({\text{a}}{{\text{b}}^{\text{x}}}\)
  • D
    None of these
13
The usual form of \({\text{1}}.00{\text{1 }} \times {\text{ 1}}{0^{\text{9}}}\)is __________.
  • A
    100100000
  • B
    1001000000
    Correct
  • C
    1001000
  • D
    10010000
14
The value of \({{\text{2}}^{\text{3}}} \times {\text{ }}{{\text{a}}^{\text{3}}} \times {\text{ 5}}{{\text{a}}^{\text{4}}}\) is _________.
  • A
    \({\text{3}}0{\text{ }} \times {\text{ }}{{\text{a}}^{\text{7}}}\)
  • B
    \({\text{4}}0{\text{ }} \times {\text{ }}{{\text{a}}^{\text{5}}}\)
  • C
    \({\text{3}}0{\text{ }} \times {\text{ }}{{\text{a}}^{\text{5}}}\)
  • D
    \({\text{4}}0{\text{ }} \times {\text{ }}{{\text{a}}^{\text{7}}}\)
    Correct
15
Simplify: \(\frac{{{4^5} \times {9^5} \times {x^7}}}{{{2^3} \times {3^6} \times {x^5}}}\).
  • A
    \({{\text{3}}^{\text{4}}} \times {\text{ }}{{\text{x}}^{\text{2}}}\)
  • B
    \({{\text{2}}^{\text{7}}} \times {\text{ }}{{\text{3}}^{\text{4}}} \times {\text{ }}{{\text{x}}^{\text{2}}}\)
    Correct
  • C
    \({{\text{2}}^{\text{7}}} \times {\text{ }}{{\text{x}}^{\text{2}}}\)
  • D
    \({{\text{2}}^{\text{7}}} \times {\text{ }}{{\text{3}}^{\text{4}}}\)