How do you simplify 4^-(5/2)4−(52)?

1 Answer
Jim G.
Jan 17, 2017

1/32132

Explanation:

Using the color(blue)"laws of exponents"laws of exponents

color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(a^-mhArr1/a^m)color(white)(2/2)|)))

rArr4^(-5/2)=1/4^(5/2)

color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(a^(m/n)hArr(root(n)a)^m)color(white)(2/2)|))

rArr4^(5/2)=(root(2)4)^5=(2)^5=32

rArr4^(-5/2)=1/4^(5/2)=1/32

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