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Popular >

simplify (5u^4v)(7u^4v^3)

Solution

simplify

(5 u^{4} v) (7 u^{4} v^{3})

Solution

35 u^{8} v^{4}

Solution steps

(5 u^{4} v) (7 u^{4} v^{3})

Apply exponent rule:

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

u^{4} u^{4} = u^{4 + 4}

= 5 v \cdot 7 u^{4 + 4} v^{3}

Add the numbers:

4 + 4 = 8

= 5 v \cdot 7 u^{8} v^{3}

Apply exponent rule:

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

v v^{3} = v^{1 + 3}

= 5 \cdot 7 u^{8} v^{1 + 3}

Add the numbers:

1 + 3 = 4

= 5 \cdot 7 u^{8} v^{4}

Multiply the numbers:

5 \cdot 7 = 35

= 35 u^{8} v^{4}

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Frequently Asked Questions (FAQ)

What is (5u^4v)(7u^4v^3) ?
The solution to (5u^4v)(7u^4v^3) is 35u^8v^4