Simplify the following expression to simplest form using only positive exponents. 5

Question

asked Aug 25, 2023 202k views

1 Answer

MSIslam · Answer 1 · 2023-08-30T21:15:29+0000

Step-by-step explanation:

Exponent rule :

$(a*b)^n\text{ = a}^2b^n$

$(32x^(-20)y^(35))^{-(4)/(5)}=\text{ 32}^{(4)/(5)}(x^(-20))^{(4)/(5)}(y^(35))^{(4)/(5)}$

Since

$32^{(4)/(5)}\text{ = 16}$

You can replace it in the equation

$16(x^(-20))^{(4)/(5)}(y^(35))^{(4)/(5)}$

Since

$Simplified\text{ : }(x^(-20))^{(4)/(5)}\text{ = }(1)/(x^(16))$
$Simplified\text{ : \lparen}y^(35))^{(4)/(5)}\text{ = }y^(28)$

You can replace them in the equation

$16*(1)/(x^(16))*y^(28)\text{ = }(16y^(28))/(x^(16))$