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

The solution to (3a^2b^4)(2a^3b^5) is 6a^5b^9

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

simplify

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

6 a^{5} b^{9}

Solution steps

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

Apply exponent rule:

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

a^{2} a^{3} = a^{2 + 3}

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

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

b^{4} b^{5} = b^{4 + 5}

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

Add the numbers:

4 + 5 = 9

= 3 \cdot 2 a^{5} b^{9}

Multiply the numbers:

3 \cdot 2 = 6

= 6 a^{5} b^{9}

250 \cdot 1 0^{- 3} e^{\frac{6}{3 \cdot 1 0 ^{- 3}} \cdot 2.3 \cdot 1 0^{- 3}}

7 x (- 9) x^{23} x (- 2)

238 \cdot (1.673 \cdot 1 0^{- 27})

(2 x^{3} y^{4} z^{3}) (4 x^{4} y^{4} z^{5})

\frac{( x - y ) ^{2}}{( x + y ) ^{2}}