### Home > MC2 > Chapter 10 > Lesson 10.2.4 > Problem10-122

10-122.

Simplify each expression.

1. $(3x^4)x^3$

Since the $3x$ is in parentheses, the $4$ in the exponent applies to both the $3$ and the $x$.

$81x^4x^3$

$81x^{(4 + 3)}$

$81x^7$

1. $\frac { 2 ^ { 4 } \cdot 3 } { 2 ^ { 3 } \cdot 3 ^ { 2 } }$

$(2^{(4 − 3)}) · (3^{(1 − 2)})$

$2^1(3^{−1})$

$\frac{2}{3}$

1. $4^{−3}·4^2$

See (a) and (b).