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Popular >

simplify 2w^2(4wh)(2wh)

Solution

simplify

2 w^{2} (4 w h) (2 w h)

Solution

16 w^{4} h^{2}

Solution steps

2 w^{2} (4 w h) (2 w h)

Apply exponent rule:

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

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

= w^{2} \cdot 4 w h \cdot 2^{1 + 1} w h

Add the numbers:

1 + 1 = 2

= w^{2} \cdot 4 w h \cdot 2^{2} w h

Apply exponent rule:

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

w^{2} ww = w^{2 + 1 + 1}

= 4 h \cdot 2^{2} w^{2 + 1 + 1} h

Add the numbers:

2 + 1 + 1 = 4

= 4 h \cdot 2^{2} w^{4} h

Apply exponent rule:

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

hh = h^{1 + 1}

= 4 \cdot 2^{2} w^{4} h^{1 + 1}

Add the numbers:

1 + 1 = 2

= 4 \cdot 2^{2} w^{4} h^{2}

2^{2} = 4

= 4 \cdot 4 w^{4} h^{2}

Multiply the numbers:

4 \cdot 4 = 16

= 16 w^{4} h^{2}

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Frequently Asked Questions (FAQ)

What is 2w^2(4wh)(2wh) ?
The solution to 2w^2(4wh)(2wh) is 16w^4h^2