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Use the properties of exponents to simplify 3x4 . 5w3y.NOTE: Your answer MUST have the variables in alphabetic order.

Use the properties of exponents to simplify 3x4 . 5w3y.NOTE: Your answer MUST have-example-1
User John Glenn
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1 Answer

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The expression we have is:


3x^4\cdot5x^3y

To simplify this expression, we will use the following property of exponents:


x^n\cdot x^m=x^(m+n)

We add the exponents when we multiply variables.

But first, we have to multiply the coefficients, since 3*5 is equal to 15, we have:


3x^4\cdot5x^3y=15(x^4\cdot x^3y)

And now we do apply the rule we mentioned for multiplying variables.

We add the exponents 4 and 3 of the x:


3x^4\cdot5x^3y=15x^(4+3)y

Since 4+3 is equal to 7, we have the final answer:


3x^4\cdot5x^3y=15x^7y

User Gkatiforis
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