Question

Simplify the expression. (16y54y3)12 Enter your answer in the box.

Answer 1

Answer:

Simplify the expression: $(16y^{\frac{5}{4}}y^3)^{\frac{1}{2}}$

Use the exponent power:

• $a^n \cdot a^m = a^{n+m}$

• $\sqrt[n]{a^n} =a$
• $(a^n)^m = a^{nm}$

$(16y^{\frac{5}{4}}y^3)^{\frac{1}{2}}$

Apply the given rules;

$(16y^{\frac{5}{4} +3} )^{\frac{1}{2}}$

Simplify:

$(16y^{\frac{17}{4}} )^{\frac{1}{2}}$

then;

$(16)^{\frac{1}{2}} \cdot (y^{\frac{17}{4}})^{\frac{1}{2}} = 4y^{\frac{17}{8}}$

Therefore, the simplified expression of $(16y^{\frac{5}{4}}y^3)^{\frac{1}{2}}$ is, $4y^{\frac{17}{8}}$