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India
Class VII

Power of a power with integer bases

Interactive practice questions

We want to simplify:

$\left(2^2\right)^4$(22)4

a

Select all of the expressions that are equivalent to $\left(2^2\right)^4$(22)4:

$2^2\times2^4$22×24

A

$\left(2\times2\right)^4$(2×2)4

B

$\left(2\times2\right)\times\left(2\times2\right)\times\left(2\times2\right)\times\left(2\times2\right)$(2×2)×(2×2)×(2×2)×(2×2)

C

$\left(2\times2\right)\times\left(2\times2\times2\times2\right)$(2×2)×(2×2×2×2)

D

$2^2\times2^2\times2^2\times2^2$22×22×22×22

E
b

Choose the correct statement:

$\left(2^2\right)^4=2^{2\times4}$(22)4=22×4

A

$\left(2^2\right)^4=2^{2+4}$(22)4=22+4

B
c

Fill in the box to complete the rule: $\left(2^2\right)^4=2^{\editable{}}$(22)4=2

Easy
1min

We want to simplify:

$\left(10^2\right)^3$(102)3

Easy
1min

Express in simplified index form:

$\left(9^4\right)^3$(94)3

Easy
< 1min

Express in simplified index form:

$\left(9^5\right)^7$(95)7

Easy
< 1min
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Outcomes

7.NS.P.2

Laws of exponents (through observing patterns to arrive at generalisation.) (i) a^m .a^n = a^(m+n) (ii) (a^m)^n = a^mn (iii) a^m / a^n = a^ (m-n) where m - n a member of N

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