Question

Explain the error in the work shown. Find the

Answer 1

Answer:

$a = - \frac{3}{4}$

Step-by-step explanation:

The correct solution of the given equation is as follows :

We have,

$\frac{1}{64} = 16^{2a}$

⇒ $4^{- 3} = (2^{4} )^{2a}$

⇒ $2^{(2 \times (-3))} = 2^{8a}$

⇒ $2^{- 6} = 2^{8a}$

Comparing the power of equal base, we get

- 6 = 8a

⇒ $a = - \frac{6}{8}$

⇒ $a = - \frac{3}{4}$

Therefore, before equating the powers of two terms the base of the terms should be equal and here this is the error. (Answer)

Answer 2

Answer:

The bases were not the same when the exponents were set equal to each other.

16 should have been written as 4 squared.

The exponent on the right should be 4a instead of 8a.

The correct solution is a=-3/4

Step-by-step explanation: