Question

Simplify (b^9)^3 A.b^24 B.b^6 C.b^27 D.b^9

Answer 1

Answer:

C. b^27

Step-by-step explanation:

By the definition of exponents

$(b^9)^3=b^9*b^9*b^9$

And since for any real numbers $r,x,$ and $y$

$r^x*r^y=r^{(x+y)}$

This makes

$(b^9)^3=b^9*b^9*b^9=b^{{9+9+9}}=\boxed{b^{27}}$

Which is choice C.

Alternatively, we could use the identity

$(r^x)^y=r^{xy}$

in which case

$(b^9)^3=b^{(9*3)}= \boxed{b^{27}}$

which is the same answer.

Answer 2

Answer:b²⁷

Step-by-step explanation: