Simplify. y^-9*y^3 Write your answer with a positive exponent only.
a ^ m * a ^ n = a ^ ( m + n )
y ^ ( - 9 ) * y ^ 3 =
y ^ ( - 9 + 3 ) =
y ^ ( - 6 ) =
1 / y ^ 6
To simplify the expression y^-9 * y^3 and write the answer with a positive exponent only, you can use the rule of exponents that states when two bases with exponents are multiplied, you add the exponents.
In this case, y^-9 * y^3 can be simplified by adding the exponents:
y^-9 * y^3 = y^(-9 + 3)
Simplifying the exponent:
y^-9 * y^3 = y^-6
Now, to write the answer with a positive exponent only, you can use another exponent rule that says when a base has a negative exponent, you can move it to the denominator of a fraction with a positive exponent.
So, y^-6 can be written as 1/y^6.
Therefore, the simplified expression with a positive exponent only is 1/y^6.