What is (10x^7y^2)(1/5 x^3y^3) ?

The solution to (10x^7y^2)(1/5 x^3y^3) is 2x^{10}y^5

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simplify (10x^7y^2)(1/5 x^3y^3)

simplify

(10 x^{7} y^{2}) (\frac{1}{5} x^{3} y^{3})

2 x^{10} y^{5}

Solution steps

(10 x^{7} y^{2}) (\frac{1}{5} x^{3} y^{3})

Apply exponent rule:

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

x^{7} x^{3} = x^{7 + 3}

= 10 y^{2} \frac{1}{5} x^{7 + 3} y^{3}

Add the numbers:

7 + 3 = 10

= 10 y^{2} \frac{1}{5} x^{10} y^{3}

Apply exponent rule:

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

y^{2} y^{3} = y^{2 + 3}

= 10 \cdot \frac{1}{5} x^{10} y^{2 + 3}

Add the numbers:

2 + 3 = 5

= 10 \cdot \frac{1}{5} x^{10} y^{5}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 10 x ^{10} y ^{5}}{5}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10 x ^{10} y ^{5}}{5}

Divide the numbers:

\frac{10}{5} = 2

= 2 x^{10} y^{5}

4.24 \cdot 4150 \cdot 1.42 \cdot 1 0^{- 30}

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What is (10x^7y^2)(1/5 x^3y^3) ?
The solution to (10x^7y^2)(1/5 x^3y^3) is 2x^{10}y^5