could someone help me with math?

Question

Simplify this expression by using the properties of exponents.You may leave your answer as a number to a power.

(9p)^2 (3p^4)^6

Answer 1

Hi Seth,

 

(9p)² (3p⁴)⁶

 

9² p² 3⁶ p²⁴

 

= 81 p² 729 p²⁴

 

= 59049 p²⁶

 

When we have one base (p) with multiple exponents (i.e. (p⁴)⁶), we multiply the exponents.

When we have two or more of the same base, being multiplied, each raised to its own power, we add the exponents.