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
Find the value of \({\left( { - {\text{9}}} \right)^{\text{3}}} \times {\left( { - {\text{4}}} \right)^{\text{2}}}\).
  • A
    -11664
    Correct
  • B
    None of these
  • C
    25
  • D
    36
2
Simplify: \({{\text{7}}^{\text{x}}} \times {{\text{7}}^{\text{2}}}\)
  • A
    None of these
  • B
    \({{\text{7}}^{{\text{x}} - {\text{2}}}}\)
  • C
    \({{\text{7}}^{{\text{x}} + {\text{2}}}}\)
    Correct
  • D
    \({{\text{7}}^{{\text{x}} + {\text{3}}}}\)
3
Which is greater?
  • A
    \({{\text{3}}^{\text{2}}}\)
  • B
    \({{\text{8}}^{\text{2}}}\)
  • C
    \({{\text{2}}^{\text{8}}}\)
    Correct
  • D
    \({{\text{2}}^{\text{3}}}\)
4
Find the value of \(\left( {{{\text{6}}^0} - {\text{ }}{{\text{2}}^0}} \right){\text{ }} \times {\text{ }}\left( {{{\text{6}}^0} + {\text{ }}{{\text{2}}^0}} \right).\)
  • A
    2
  • B
    3
  • C
    0
    Correct
  • D
    1
5
In\({\left( { - {\text{9}}} \right)^{\text{4}}}\), the base is _______ and the exponent is 4.
  • A
    4
  • B
    -9
    Correct
  • C
    -4
  • D
    9
6
\({\left( { - {\text{1}}} \right)^{\text{4}}}\)is equal to ____.
  • A
    -1
  • B
    0
  • C
    2
  • D
    1
    Correct
7
\({\left( {{{\text{a}}^{\text{x}}}} \right)^{\text{y}}}\) = _____
  • A
    \({{\text{a}}^{\text{x}}}\)
  • B
    \({{\text{a}}^{\text{y}}}\)
  • C
    None of these
  • D
    \({{\text{a}}^{{\text{xy}}}}\)
    Correct
8
Express 5,223,000,000 in the standard form.
  • A
    \({\text{5 }} \times {\text{ 1}}{0^{\text{9}}} + {\text{ 2 }} \times {\text{ 1}}{0^{\text{8}}} + {\text{ 2 }} \times {\text{ 1}}{0^{\text{7}}} + {\text{ 3 }} \times {\text{ 1}}{0^{\text{5}}}\)
  • B
    \({\text{5 }} \times {\text{ 1}}{0^{\text{9}}} + {\text{ 2 }} \times {\text{ 1}}{0^{\text{8}}} + {\text{ 2 }} \times {\text{ 1}}{0^{\text{7}}} + {\text{ 3 }} \times {\text{ 1}}{0^{\text{4}}}\)
  • C
    \({\text{5 }} \times {\text{ 1}}{0^{\text{9}}} + {\text{ 2 }} \times {\text{ 1}}{0^{\text{8}}} + {\text{ 2 }} \times {\text{ 1}}{0^{\text{7}}} + {\text{ 3 }} \times {\text{ 1}}{0^{\text{6}}}\)
    Correct
  • D
    None of these
9
Express 256,000,000 in the standard form.
  • A
    \({\text{2 }} \times {\text{ 1}}{0^{\text{8}}} + {\text{ 5 }} \times {\text{ 1}}{0^{\text{7}}} + {\text{ 6 }} \times {\text{ 1}}{0^{\text{4}}}\)
  • B
    \({\text{2 }} \times {\text{ 1}}{0^{\text{8}}} + {\text{ 5 }} \times {\text{ 1}}{0^{\text{7}}} + {\text{ 6 }} \times {\text{ 1}}{0^{\text{6}}}\)
    Correct
  • C
    \({\text{2 }} \times {\text{ 1}}{0^{\text{8}}} + {\text{ 5 }} \times {\text{ 1}}{0^{\text{7}}} + {\text{ 6 }} \times {\text{ 1}}{0^{\text{5}}}\)
  • D
    \({\text{2 }} \times {\text{ 1}}{0^{\text{8}}} + {\text{ 5 }} \times {\text{ 1}}{0^{\text{7}}} + {\text{ 6 }} \times {\text{ 1}}{0^{\text{3}}}\)
10
Simplify and write the answer in exponential form. \({{\text{3}}^{{\text{7}}}} \div {{\text{3}}^{\text{4}}}\)
  • A
    \({{\text{3}}^{\text{4}}}\)
  • B
    \({{\text{3}}^{\text{7}}}\)
  • C
    \({{\text{3}}^{\text{3}}}\)
    Correct
  • D
    \({{\text{3}}^{\text{2}}}\)
11
Simplify and write the answer in exponential form. \({{\text{5}}^{\text{8}}} \div {\text{ }}{{\text{5}}^{{\text{4}}}}\)
  • A
    \({{\text{5}}^{\text{2}}}\)
  • B
    \({{\text{5}}^{\text{3}}}\)
  • C
    \({{\text{5}}^{\text{4}}}\)
    Correct
  • D
    None of these
12
Find m so that\({\left( {\frac{2}{9}} \right)^3} \times {\left( {\frac{2}{9}} \right)^{ - 6}} = {\left( {\frac{2}{9}} \right)^{2m - 1}}\).
  • A
    1
  • B
    2
  • C
    -1
    Correct
  • D
    0
13
Fill in the Blank \({{\text{a}}^{\text{m}}} \div {\text{ }}{{\text{a}}^{\text{n}}}\) = a........ Where m and n are natural numbers:-
  • A
    \({{\text{a}}^{{\text{mn}}}}\)
  • B
    \({{\text{a}}^{{\text{m}} + {\text{n}}}}\)
  • C
    None of these
  • D
    \({{\text{a}}^{{\text{m}} - {\text{n}}}}\)
    Correct
14
Express \({\left( {{\text{ 2a}}} \right)^{\text{4}}}\) in exponential form.
  • A
    \({\text{2}}{{\text{a}}^{\text{4}}}\)
  • B
    \({\text{4}}{{\text{a}}^{\text{3}}}\)
  • C
    \({\text{8}}{{\text{a}}^{\text{4}}}\)
  • D
    \({\text{16}}{{\text{a}}^{\text{4}}}\)
    Correct
15
The value of \(\frac{1}{{{3^2}}}\)is
  • A
    3
  • B
    None of these
  • C
    \(\frac{1}{9}\)
    Correct
  • D
    \(\frac{1}{3}\)