What is the value of -m- if 25-29 m -258-298A- 8B- 6C- 4D- 2

The correct option is A 8We know that for non zero integers 'a' and 'b', (a/b)^m=(a)^m/(b)^m, nbsp; where 'm' is any integer. nbsp; ∴ (25/29)^8=(25)^8/(29)^ ...

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Standard VII

Mathematics

Introduction

What is the v...

Question

What is the value of 'm' if $(\frac{25}{29})^{m} = \frac{(25)^{8}}{(29)^{8}}$

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Solution

The correct option is A 8
We know that for non-zero integers 'a' and 'b',
$(\frac{a}{b})^{m} = \frac{(a)^{m}}{(b)^{m}}$ ,
where 'm' is any integer.

$∴ (\frac{25}{29})^{8} = \frac{(25)^{8}}{(29)^{8}}$

Comparing this with the given equation $(\frac{25}{29})^{m} = \frac{(25)^{8}}{(29)^{8}}$ , we get,
$\Rightarrow m = 8$

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What is the value of 'm' if (2529)m=(25)8(29)8

The correct option is A 8We know that for non-zero integers 'a' and 'b', (ab)m=(a)m(b)m, where 'm' is any integer. ∴(2529)8=(25)8(29)8 Comparing this with the given equation (2529)m=(25)8(29)8, we get, ⇒m=8

What is the value of 'm' if $(\frac{25}{29})^{m} = \frac{(25)^{8}}{(29)^{8}}$