What is (10t^4v^5)(3t^2v^5) ?

The solution to (10t^4v^5)(3t^2v^5) is 30t^6v^{10}

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simplify (10t^4v^5)(3t^2v^5)

simplify

(10 t^{4} v^{5}) (3 t^{2} v^{5})

30 t^{6} v^{10}

Solution steps

(10 t^{4} v^{5}) (3 t^{2} v^{5})

Apply exponent rule:

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

t^{4} t^{2} = t^{4 + 2}

= 10 v^{5} \cdot 3 t^{4 + 2} v^{5}

Add the numbers:

4 + 2 = 6

= 10 v^{5} \cdot 3 t^{6} v^{5}

Apply exponent rule:

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

v^{5} v^{5} = v^{5 + 5}

= 10 \cdot 3 t^{6} v^{5 + 5}

Add the numbers:

5 + 5 = 10

= 10 \cdot 3 t^{6} v^{10}

Multiply the numbers:

10 \cdot 3 = 30

= 30 t^{6} v^{10}

\frac{7 + 5}{7 - 5}

t^{\frac{2}{3}} x^{\frac{2}{3}} (5 t^{2})

(1.412 \cdot 1 0^{- 26}) \cdot (5.024 \cdot 1 0^{22})

(3 y) (15 y^{5})

y \cdot e^{- \frac{1}{2} x} (y \cdot e^{\frac{1}{2} x})

What is (10t^4v^5)(3t^2v^5) ?
The solution to (10t^4v^5)(3t^2v^5) is 30t^6v^{10}