Question 623084
1. Use the laws on exponents for multiplication and division in simplifying the following:
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a) 12m^3 ● 6m^7 = 72m^10; add exponents when you multiply
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b) (6x^4 + x^3)x^5 = 6x^9 + x^8
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c) (5y)^4 = 5^4*y^4 = 625y^4
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d) {{{(2x^(-2)y^4z^3)/(8x^3yz^3)}}}
{{{(x^(-2)y^4z^3)/(4x^3yz^3)}}}; divided the 2 into 8
Subtract exponents when you divide, we want our solution to have positive exponents
{{{(y^((4-1))z^((3-3)))/(4x^((3+2)))}}} ={{{(y^3*y^0)/(4x^5)}}} = {{{(y^3*1)/(4x^5)}}} = {{{(y^3)/(4x^5)}}}
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e) {{{(m^(1/3))^12}}} = {{{m^((1/3)*12)}}} ={{{m^4}}}; when you raise one exponent to another exponent, you multiply