Write an equivalent expression with negative exponents.

$$\frac{1}{x^3}$$

Write an equivalent exponential or logarithmic equation.

$$e^5=10 x$$

Given that $y=2.5^{-x}$, write an equivalent equation in the form $y=b^x$, with $0<b<1$.

Rewrite as an equivalent exponential equation. $\\$$\log _8 1=0$

Write an equivalent expression with negative exponents.

$$\frac{1}{n^4}$$

Write an equivalent expression by factoring.

$$a c+a d+b c+b d$$

If h(x) = 5 x and k(x)=1/x, which expression is equivalent to (koh)(x)?

Express as an equivalent expression that is a sum of logarithms. $\\$$\log _t(3 a b)$

Write an equivalent exponential or logarithmic equation.

$$\ln x \approx 0.6931$$

Write an equivalent exponential equation: $\log _a c=5$

Write an equivalent expression by factoring.

$$(x+7)(x-1)+(x+7)(x-2)$$

For this item, write the fraction and decimal equivalent for the given percent.

80%

Write an equivalent exponential or logarithmic equation.

$$e^4=x-3$$

Write an equivalent expression by factoring.

$$2 x y+3 x-x^2 y-6$$