Question

1. which expression is equivalent to $x^4 \cdot x^5$?

a) $x^{20}$
b) $x^9$
c) $2x^9$
d) $x^1$

#2 *

1. simplify the expression: $\frac{y^8}{y^2}$

a) $y^4$
b) $y^6$
c) $y^{10}$
d) $y^{-6}$

Explanation:

Step1: Apply exponent product rule

For $x^4 \cdot x^5$, use $a^m \cdot a^n = a^{m+n}$:
$x^{4+5} = x^9$

Step2: Apply exponent quotient rule

For $\frac{y^8}{y^2}$, use $\frac{a^m}{a^n} = a^{m-n}$:
$y^{8-2} = y^6$

Answer:

1. B) $x^9$
2. B) $y^6$