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Popular >

simplify (-6)^2*(-6)^5

Solution

simplify

(- 6)^{2} \cdot (- 6)^{5}

Solution

- 279936

Solution steps

(- 6)^{2} (- 6)^{5}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

(- 6)^{2} (- 6)^{5} = (- 6)^{2 + 5}

= (- 6)^{2 + 5}

Add the numbers:

2 + 5 = 7

= (- 6)^{7}

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

(- 6)^{7} = - 6^{7}

= - 6^{7}

6^{7} = 279936

= - 279936

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Frequently Asked Questions (FAQ)

What is (-6)^2*(-6)^5 ?
The solution to (-6)^2*(-6)^5 is -279936