Question

(-3a^18b^8)^2*(-4ab^3)^3

Answer 1

=9a^36b^16•(-64)a^3b^9=-576a^39b^25

Answer 2

To simplify the expression $(-3a^{18}b^{8})^2(-4ab^{3})^3$, you can apply the rules of exponents and multiplication.

First, raise each term inside the parentheses to the respective exponents:

$(-3^2a^{18*2}b^{8*2})(-4^3a^{1*3}b^{3*3})$

Now, simplify the exponents and the numerical values:

$(9a^{36}b^{16})(-64a^{3}b^{9})$

Next, multiply the coefficients (the numerical values):

$(-9 \cdot 64a^{36+3}b^{16+9})$

Simplify the exponents in the variables:

$(-576a^{39}b^{25})$

So, the simplified expression is $-576a^{39}b^{25}$.