What is (8a^3b^2)(2a^4b^5) ?

The solution to (8a^3b^2)(2a^4b^5) is 16a^7b^7

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simplify (8a^3b^2)(2a^4b^5)

simplify

(8 a^{3} b^{2}) (2 a^{4} b^{5})

16 a^{7} b^{7}

Solution steps

(8 a^{3} b^{2}) (2 a^{4} b^{5})

Apply exponent rule:

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

a^{3} a^{4} = a^{3 + 4}

= 8 b^{2} \cdot 2 a^{3 + 4} b^{5}

Add the numbers:

3 + 4 = 7

= 8 b^{2} \cdot 2 a^{7} b^{5}

Apply exponent rule:

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

b^{2} b^{5} = b^{2 + 5}

= 8 \cdot 2 a^{7} b^{2 + 5}

Add the numbers:

2 + 5 = 7

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

Multiply the numbers:

8 \cdot 2 = 16

= 16 a^{7} b^{7}

(x \cdot y) (x^{2} \cdot y)

e^{- 0.06 \cdot 24}

- 4 (ab)^{3}

(5 a^{2} b^{3} c) (2 a b^{4} c^{2})