Same Base Power Properties

Rewrite the expression as a single power.

(Use ^ to form an exponent)

$$6^4\cdot6^4$$

Rewrite the expression as a single power.

(Use ^ to form an exponent)

$$\frac{2^9}{2^5}$$

What value of x makes the equation true?

$$\frac{8^x}{8^5}=8^7$$

Rewrite the expression as a single power.

$$3\cdot3\cdot3\cdot3\cdot3^2$$

When rewriting this expression as a single power, what will the base be?

$$\frac{12^5\cdot12^7}{12^4}$$

What is the correct way to rewrite the expression as a single power?

$$\left(-10\right)\cdot\left(-10\right)^4$$

What value of x makes the equation true?

$$\left(-11\right)^x\cdot\left(-11\right)^4=\left(-11\right)^7$$

Complete the rules.

$$\left(x^m\right)^n=$$ ​ (a)   , $$x^m\cdot x^n=$$ ​ ​ (b)  

$$\frac{x^m}{x^n}=$$ ​ (c)   , $$\frac{x^n}{x^m}=$$ ​ (d)  

What value of x makes the equation true?

$$\left(x^4\right)^2=7^8$$