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

The solution to (8a^5b^2)(3a^2b^4) is 24a^7b^6

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

simplify

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

24 a^{7} b^{6}

Solution steps

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

Apply exponent rule:

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

a^{5} a^{2} = a^{5 + 2}

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

Add the numbers:

5 + 2 = 7

= 8 b^{2} \cdot 3 a^{7} b^{4}

Apply exponent rule:

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

b^{2} b^{4} = b^{2 + 4}

= 8 \cdot 3 a^{7} b^{2 + 4}

Add the numbers:

2 + 4 = 6

= 8 \cdot 3 a^{7} b^{6}

Multiply the numbers:

8 \cdot 3 = 24

= 24 a^{7} b^{6}

(e^{- 664.6976300000000 \dots}) ((e^{0.3411000000000 \dots})^{1971})

(e^{x - 3})^{2}

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e^{- x} lo g_{e} (1 + e^{x})

7.1 \cdot 1 0^{- 21}