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

The solution to 2(1/2 x^5y^2)(2x^2y^5) is 2x^7y^7

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simplify 2(1/2 x^5y^2)(2x^2y^5)

simplify

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

2 x^{7} y^{7}

Solution steps

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

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

x^{5} x^{2} = x^{5 + 2}

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

Add the numbers:

5 + 2 = 7

= \frac{1}{2} y^{2} \cdot 2^{2} x^{7} y^{5}

Apply exponent rule:

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

y^{2} y^{5} = y^{2 + 5}

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

Add the numbers:

2 + 5 = 7

= \frac{1}{2} \cdot 2^{2} x^{7} y^{7}

Multiply fractions:

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

= \frac{1 \cdot 2 ^{2} x ^{7} y ^{7}}{2}

Multiply:

1 \cdot 2^{2} = 2^{2}

= \frac{2 ^{2} x ^{7} y ^{7}}{2}

Cancel the common factor:

2

= 2 x^{7} y^{7}

\frac{e ^{- 2}}{e ^{2}}

\frac{3 \cdot 1 0 ^{8}}{0.004} \cdot 6.63 \cdot 1 0^{- 34}

(0.0030557749) \cdot (10)^{- 3}

\frac{x ^{2}}{( 2 + 3 x ^{2} ) ^{2}}

(m^{3} p^{6}) (m^{2} p^{3})

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