What is (7a^3b^4)(3a^5b^2) ?

The solution to (7a^3b^4)(3a^5b^2) is 21a^8b^6

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simplify (7a^3b^4)(3a^5b^2)

simplify

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

21 a^{8} b^{6}

Solution steps

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

Apply exponent rule:

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

a^{3} a^{5} = a^{3 + 5}

= 7 b^{4} \cdot 3 a^{3 + 5} b^{2}

Add the numbers:

3 + 5 = 8

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

Apply exponent rule:

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

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

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

Add the numbers:

4 + 2 = 6

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

Multiply the numbers:

7 \cdot 3 = 21

= 21 a^{8} b^{6}

0.18 x 1 0^{- 2}

2.7386100000000 \dots \cdot 1 0^{- 5}

4.02 \cdot 1 0^{- 2}

4.76519096 \cdot 1 0^{- 4}

e^{2 x} \cdot e^{- 1}