Question

find the value of m.(2/7)raised to power-5 ×(2/7)raised to the power m =(2/7)raised to the power 6 . please solve it , it's urgent....​

Answer 1

Step-by-step explanation:

$\huge\underline\mathfrak{Answer}$

$( { \frac{2}{7} })^{ - 5} \times ({ \frac{2}{7} })^{m} = ({ \frac{2}{7} })^{6}$

We know that a^m × a^n = a^m+n

So,

$( { \frac{2}{7} })^{ - 5 + m} = ({ \frac{2}{7} })^{6}$

If the bases are equal,equate the powers

- 5 + m = 6

m = 6+5

m = 11

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