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Popular >

simplify 7ab^2(5a^2b^3)

Solution

simplify

7 a b^{2} (5 a^{2} b^{3})

Solution

35 a^{3} b^{5}

Solution steps

7 a b^{2} (5 a^{2} b^{3})

Apply exponent rule:

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

a a^{2} = a^{1 + 2}

= 7 b^{2} \cdot 5 a^{1 + 2} b^{3}

Add the numbers:

1 + 2 = 3

= 7 b^{2} \cdot 5 a^{3} b^{3}

Apply exponent rule:

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

b^{2} b^{3} = b^{2 + 3}

= 7 \cdot 5 a^{3} b^{2 + 3}

Add the numbers:

2 + 3 = 5

= 7 \cdot 5 a^{3} b^{5}

Multiply the numbers:

7 \cdot 5 = 35

= 35 a^{3} b^{5}

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Frequently Asked Questions (FAQ)

What is 7ab^2(5a^2b^3) ?
The solution to 7ab^2(5a^2b^3) is 35a^3b^5