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Popular >

simplify (4a^2)(5b^2)

Solution

simplify

(4 a^{2}) (5 b^{2})

Solution

20 a^{2} b^{2}

Solution steps

(4 a^{2}) (5 b^{2})

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

a^{2} b^{2} = (ab)^{2}

= 4 \cdot 5 (ab)^{2}

(ab)^{2} = a^{2} b^{2}

= 4 \cdot 5 a^{2} b^{2}

Multiply the numbers:

4 \cdot 5 = 20

= 20 a^{2} b^{2}

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Frequently Asked Questions (FAQ)

What is (4a^2)(5b^2) ?
The solution to (4a^2)(5b^2) is 20a^2b^2