The sides of a square are five to the power of two fifths inches long. What is the area of the square?

five to the power of four fifths square inches
five to the power of four twenty fifths square inches
twenty five to the power of four fifths square inches
twenty five to the power of four twenty fifths square inches

I got D is that correct?

Question

The sides of a square are five to the power of two fifths inches long. What is the area of the square?

 five to the power of four fifths square inches
 five to the power of four twenty fifths square inches
 twenty five to the power of four fifths square inches
 twenty five to the power of four twenty fifths square inches

I got D is that correct?

thesmartone · Answer

nope :P

Hint: 

$\Large\sf a^b \times a^c = a^{b+c}$

oswaldmurphy · Answer

I didnt realize that was a power..

oswaldmurphy · Answer

A?

thesmartone · Answer

$\Large\sf a^{\frac{b}{d}} \times a^{\frac{c}{d}} = a^{\frac{b+c}{d}}$

thesmartone · Answer

correct

oswaldmurphy · Answer

Ok. Thanks bb

jtug6 · Answer

Just to add as an additional rule as reference (also important not to confuse with the multiplication property)

$$(A ^{7})^{3} = A ^{21}$$

oswaldmurphy · Answer

OK, thanks :D

jtug6 · Answer

Raising a power to another power = multiplication

jtug6 · Answer

np