Question

Which expressions are equivalent to the one below? Check all that apply

64x

A. 8x * 8x
B.8^2x
C.8^2*8x
D.8*8x
E.(8*8)^x
D.8*8^2x

Answer 1

Answer:

The expression which are equivalent are:

B.    8^2x

D.    8*8x

Step-by-step explanation:

We are asked to check the equivalent expression to the given expression:

64 x

A)

$8x\times 8x$

on solving it gives:

$8x\times 8x=64x^2\neq64x$

Hence, option A is incorrect.

B)

$8^2x$

on solving we obtain:

$8^2x=64x$

Option: B is correct.

C)

$8^2\times 8x$

on solving we obtain:

$8^2\times 8x=512x$

Hence, option C is false.

D)

$8\times 8x$

on solving we get:

$8\times 8x=64x$

option: D is true.

E)

$(8\times 8)^x$

which is written as:

$(8\times 8)^x=64^x$

Hence, option E is false.

F)

$8\times 8^{2x}\\\\=8\times 8^{2^x}\\=8\times 64^x$

Hence, option F is false.