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Popular >

simplify (9r^3)(9r)

Solution

simplify

(9 r^{3}) (9 r)

Solution

81 r^{4}

Solution steps

(9 r^{3}) (9 r)

Apply exponent rule:

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

9 \cdot 9 = 9^{1 + 1}

= r^{3} \cdot 9^{1 + 1} r

Add the numbers:

1 + 1 = 2

= r^{3} \cdot 9^{2} r

Apply exponent rule:

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

r^{3} r = r^{3 + 1}

= 9^{2} r^{3 + 1}

Add the numbers:

3 + 1 = 4

= 9^{2} r^{4}

9^{2} = 81

= 81 r^{4}

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Frequently Asked Questions (FAQ)

What is (9r^3)(9r) ?
The solution to (9r^3)(9r) is 81r^4