Determine whether each expression is equivalent to 49^2t – 0.5. 7^2t/49^0.5

49^2t/7^0.5

7^2t•49^0.5

None of the expression are equivalent to

Step-by-step explanation:

Given

Required

Find its equivalents

We start by expanding the given expression

Expand 49

Using laws of indices:

This implies that; each of the following options A,B and C must be equivalent to or alternatively,

A.

Using law of indices which states;

Applying this law to the numerator; we have

Expand expression in bracket

Also; Using law of indices which states;

becomes

This is not equivalent to

B.

Expand numerator

Using law of indices which states;

Applying this law to the numerator; we have

Also; Using law of indices which states;

=

This is also not equivalent to

C.

Using law of indices which states;

This is also not equivalent to