What is (10g^3h^8v^6)(11gh^8) ?

The solution to (10g^3h^8v^6)(11gh^8) is 110g^4h^{16}v^6

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simplify (10g^3h^8v^6)(11gh^8)

simplify

(10 g^{3} h^{8} v^{6}) (11 g h^{8})

110 g^{4} h^{16} v^{6}

Solution steps

(10 g^{3} h^{8} v^{6}) (11 g h^{8})

Apply exponent rule:

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

g^{3} g = g^{3 + 1}

= 10 h^{8} v^{6} \cdot 11 g^{3 + 1} h^{8}

Add the numbers:

3 + 1 = 4

= 10 h^{8} v^{6} \cdot 11 g^{4} h^{8}

Apply exponent rule:

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

h^{8} h^{8} = h^{8 + 8}

= 10 v^{6} \cdot 11 g^{4} h^{8 + 8}

Add the numbers:

8 + 8 = 16

= 10 v^{6} \cdot 11 g^{4} h^{16}

Multiply the numbers:

10 \cdot 11 = 110

= 110 g^{4} h^{16} v^{6}

3.1 \cdot 1 0^{- 3}

e^{- 1.24}

\frac{5}{x} x^{- 1}

\frac{x + 1}{x - 1}

What is (10g^3h^8v^6)(11gh^8) ?
The solution to (10g^3h^8v^6)(11gh^8) is 110g^4h^{16}v^6