6.1 MathXL (Rational Exponents and Properties of Exponents)

$$What\ is\ the\ value\ of\ x\ in\ 27^{\frac{x}{2}}=3^x-1?$$

Match each expression with its equivalent expressions

For the partial solution shown in the image, identify the property of exponents that is used.​ ​ ​ ​ (a)   ​

Solve the given equation for x.

(a)  

Solve the given equation. x = ?

(a)  

Solve the equation.

$$9^{3x-1}=81^{x+2}$$

(a)  

Solve the given equation. Type your answer in simplified fraction form.

(a)  

Write the radical using rational exponents.

Use shift+6 (^) to indicate an exponent.

(a)  

Which option helps to explain why a^0 = 1?

Describe the error this student made.