Which expression is equivalent to

Answer:

The expression is equivalent to 2, option C is the right answer.

What is an Expression?

An expression in maths is a statement that contains , constants , variables and mathematical operators.

The expression given in the question is

$\frac{4^{\frac{5}{4}} * 4^{\frac{1}{4}}}{4^{\frac{1}{2}}}$

Applying exponent rule

$a^m * a^n=a^{m+n}$ $\frac{4^{\frac{5}{4}+\frac{1}{4}}}{4^{\frac{1}{2}}}$

Applying exponent rule

$\frac{a^m}{a^n}=a^{m-n}$ $4^{\frac{5}{4}+\frac{1}{4}-\frac{1}{2}}$

On solving the exponents

=(6/4) -(1/2)

=4/4

= $4^{\frac{1}{2}}$

= 2

Therefore the expression is equivalent to 2, option C is the right answer.

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