How do you multiply #8w ^ { 8} y ^ { 8} \cdot 2y ^ { 6} \cdot 3w#?

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Answer 1 · 2018-07-10T04:39:09

#8w^8y^ 8*2y^6*3w=color(blue)(48w^9y^14#

#8w^8y^ 8*2y^6*3w#

Take out the constants and gather like variables.

#8*2*3w^8wy^8y^6#

Simplify the constants.

#48w^8wy^8y^6#

Apply the product rule of exponents: #a^ma^n=a^(m+n)#

A variable without an exponent is understood to have an exponent of #1#.

#48w^(8+1)y^(8+6)#

Simplify.

#48w^9y^14#