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Popular >

simplify (9y^3)(9y^2)

Solution

simplify

(9 y^{3}) (9 y^{2})

Solution

81 y^{5}

Solution steps

(9 y^{3}) (9 y^{2})

Apply exponent rule:

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

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

= y^{3} \cdot 9^{1 + 1} y^{2}

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

y^{3} y^{2} = y^{3 + 2}

= 9^{2} y^{3 + 2}

Add the numbers:

3 + 2 = 5

= 9^{2} y^{5}

9^{2} = 81

= 81 y^{5}

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Frequently Asked Questions (FAQ)

What is (9y^3)(9y^2) ?
The solution to (9y^3)(9y^2) is 81y^5