What is (3m^4z^4)(5m^3z^2) ?

The solution to (3m^4z^4)(5m^3z^2) is 15m^7z^6

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simplify (3m^4z^4)(5m^3z^2)

simplify

(3 m^{4} z^{4}) (5 m^{3} z^{2})

15 m^{7} z^{6}

Solution steps

(3 m^{4} z^{4}) (5 m^{3} z^{2})

Apply exponent rule:

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

m^{4} m^{3} = m^{4 + 3}

= 3 z^{4} \cdot 5 m^{4 + 3} z^{2}

Add the numbers:

4 + 3 = 7

= 3 z^{4} \cdot 5 m^{7} z^{2}

Apply exponent rule:

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

z^{4} z^{2} = z^{4 + 2}

= 3 \cdot 5 m^{7} z^{4 + 2}

Add the numbers:

4 + 2 = 6

= 3 \cdot 5 m^{7} z^{6}

Multiply the numbers:

3 \cdot 5 = 15

= 15 m^{7} z^{6}

(2 x^{4}) (4 x^{2})

6.67 \cdot 1 0^{- 11} \cdot 6

e^{- 78}

(3 x^{2}) (6 x^{3} y)

\frac{2 ^{1}}{1 !} \cdot e^{- 2}