Question

My mom needs help it's negative exponets it's 5x^-3y^4)^-3 Please explain step by step my mom has the chest sheet

Answer 1

Answer:

x^9

----------------

125 y^12

Step-by-step explanation:

(5x^-3 y^4)^-3

We know that (ab)^c can be split into a^  * b^c

5^-3  *x^-3 ^-3*  y^4 ^-3

We also know that a^b^c  = a^ (b*c)

5^-3  *x^(-3 *-3)  *  y^(4 *-3)

5^-3  *x^(9)  *  y^(-12)

We know that negative exponents in the numerator move it to the denominator.  The exponent stays the same except for the negative.

1/5^3  * x^9   * 1/ y^12

We know that 5^3 = 125

Rearranging the order

x^9

----------------

125 y^12