Simplify your answer and use positive exponents only
(a3b)3(a4b8)
^ ^ ^ ^
The answer I got was 3a7b9
^ ^
is this correct? Please help and if it is not can you show me the correct way!! Thank you very much
if the first term is (a^3*b)^3 that equals a^9 *b^3
then, multiplying that by the second term yields
a^13 * b^11
To simplify the expression (a^3b)^3(a^4b^8) using positive exponents only, we need to apply the exponent rules.
First, we raise the base inside the parentheses (a^3b) to the power outside the parentheses, which is 3:
(a^3b)^3 = a^(3*3)b^(1*3) = a^9b^3
Next, we multiply the result by the second part of the expression, a^4b^8:
a^9b^3 * a^4b^8 = a^(9+4)b^(3+8) = a^13b^11
Therefore, the simplified expression using positive exponents only is a^13b^11.
So, the answer you provided, 3a^7b^9, is not correct. The correct simplified expression is a^13b^11.