Question 1133260


1.) Use the product rule for exponents to simplify the expression. Write the result using exponents.


the product rule for exponents: {{{a^n *a^m = a^(n+m)}}}

{{{(u^5*v^2)(u^8*v^2)}}}

{{{(u^5*u^8)(v^2*v^2)}}}

{{{(u^(5+8))(v^(2+2)))}}}

{{{u^13*v^4)}}}



2.) Use the quotient rule for exponents to simplify the expression. Write the result using exponents.

the quotient rule for exponents: {{{a^n/a^m = a^(n-m)}}}


{{{8^12/8^3=8^(12-3)=8^9}}}



3.) Use the quotient rule for exponents to simplify the expression. Write the result using exponents.


{{{(c^3*d^8)/cd=(c^3/c^1)*(d^8/d^1)=c^(3-1)*d^(8-1)=c^2*d^7}}}


4.) Use the power of a product rule for exponents to simplify the expression.


{{{(5b)^3=5^3*b^3=125b^3}}}