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Popular >

simplify (a^3b^8)(a^7b^27)

Solution

simplify

(a^{3} b^{8}) (a^{7} b^{2} 7)

Solution

7 a^{10} b^{10}

Solution steps

(a^{3} b^{8}) (a^{7} b^{2} \cdot 7)

Apply exponent rule:

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

a^{3} a^{7} = a^{3 + 7}

= b^{8} a^{3 + 7} b^{2} \cdot 7

Add the numbers:

3 + 7 = 10

= b^{8} a^{10} b^{2} \cdot 7

Apply exponent rule:

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

b^{8} b^{2} = b^{8 + 2}

= a^{10} b^{8 + 2} \cdot 7

Add the numbers:

8 + 2 = 10

= a^{10} b^{10} \cdot 7

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Frequently Asked Questions (FAQ)

What is (a^3b^8)(a^7b^27) ?
The solution to (a^3b^8)(a^7b^27) is 7a^{10}b^{10}