Question

what is the value of m,if (2/9)3*(2/9)-6 =(2/9)2m-1​

Answer 1

Given:

(2/9)3×(2/9)6=(2/9)2m-1

To find:

Find the value of m so that (2/9)3×(2/9)6=(2/9)2m-1

Solution:

From given, we have,

(2/9) ^{3} × (2/9) ^{6} = (2/9) ^{2m-1}

Thus,

(2/9) ^{3} × (2/9) ^{6} = (2/9) ^{2m-1}

The exponent "product rule" says that, when multiplying two powers that have the same base, you can add the exponents.  

(2/9) ^{3 + 6} = (2/9) ^{2m-1}

(2/9) ^{9} = (2/9) ^{2m-1}

9 = 2m - 1

2m = 10

m = 5

Therefore, the value of m is 5.

Answer 2

Answer:

-1

Step-by-step explanation:

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