Question

Choose the correct simplification of the expression the quantity a to the 2nd power over b to the 3rd power all raised to the 4th power.

a to the 6th power over b to the 7th power
b12
a8b15
the quantity a to the 8th power over b to the 12th power

Answer 1

@jdoe0001

Answer 2

is it d?\[\frac{ a^8 }{ b^12 }\]

Answer 3

b^12, so like an exponent of 12, not 1...

Answer 4

hmm what makes you think is d anyway?

Answer 5

idk, I originally thought it was a, but idk

Answer 6

\(\bf (a^n)^m\implies a^{n\cdot m}\quad thus
\\ \quad \\
\left( \cfrac{a^2}{b^3} \right)^{\color{brown}{ 4}}\implies \left( \cfrac{a^{2\cdot {\color{brown}{ 4}}}}{b^{3\cdot {\color{brown}{ 4}}}} \right)\)

Answer 7

so...should be obvous I'd think