Question

125x^5 by 5 square root of 5 x^3​

Answer 1

Use n√ax=axnaxn=axn to rewrite √55 as 512512.

125x=1512125x=1512

Move 512512 to the numerator using the negative exponent rule 1bn=b−n1bn=b-n.

125x=5−12125x=5-12

Create equivalent expressions in the equation that all have equal bases.

53x=5−1253x=5-12

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

3x=−12