Question

Which expression is equivalent to (64 y Superscript 100 Baseline) Superscript one-half?
8y10
8y50
32y10
32y50

Answer 1

Answer:

$8y^{50}$

Step-by-step explanation:

This expression is equal :

${(64y^{100})}^{\frac{1}{2}}$

Here we can use this rule :

$(a^mb^n)^y=a^{my}b^{ny}$

Now, 64 we can write like : $8^2$

$(8^2y^{100})^{\frac{1}{2}}$

Now we can use our rule :

$8^{2*\frac{1}{2}}y^{100*\frac{1}{2}$

When we simplify, we have :

8y^{50}

Answer 2

Answer:

b

Step-by-step explanation: