Question

Exponent : compute please answer this question full method​

Answer 1

Answer:

4/ 9

Step-by-step explanation:

(2/ 3) ⁻⁴ × (27/ 8)⁻²

negative exponents reciprocate the fractions

=> (3/ 2)⁴ × (8/ 27)²

8 can be written as 2³ and 3 as 3³

=> (3/ 2)⁴ × (2³/ 3³)²

distributing the value of power to individual bases of the fractions

=> 3⁴/ 2⁴ × (2³)²/ (3³)²

power raised to power gets multiplied.

= 3⁴/ 2⁴ × 2⁶/ 3⁶

writing as one fraction

= (3⁴ × 2⁶)/ (3⁶ × 2⁴)

when common bases raised to different powers are oresent in numerator and denominator of a fraction their exponents get subtracted

= 2⁶⁻⁴/ 3⁶⁻⁴

= 2²/ 3²

= 4/ 9

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Hope this helps!

Answer 2

Step-by-step explanation:

First we will multiply

$\frac{2}{3} \times \frac{27}{8}$

So,

$\frac{2 \times 8}{3 \times 8} = \frac{16}{24}$

And

$\frac{27 \times 3}{8 \times 3} = \frac{81}{24}$

Then we will add minus 4 and minus2

${ \frac{16}{24} }^{ - 4} \: \: \frac{ {81}^{ - 2} }{24}$

The answer is