Exponents Review

$$125x^6y^{12}$$  

$$15x^6y^{12}$$  

$$8x^5y^7$$  

$$15x^5y^7$$  

$$\frac{2m^3}{n^{6^{ }}}$$  

$$2m^3$$  

$$4m^6n^2$$  

$$2m^6n^2$$  

$$\frac{1}{27n^9}$$  

$$\frac{-27}{n^9}$$  

$$\frac{-27}{n^6}$$  

$$\frac{-9}{n^6}$$  

$$5^{-3\ \ },\ -4^3\ ,\ \ 3^3\ \ ,\ \left(-6\right)^2$$  

$$-4^{3\ }\ ,\ \ 5^{-3\ },\ 3^3\ ,\ \left(-6\right)^2$$  

$$\left(-6\right)^{2\ },\ 5^{-3}\ ,\ -4^{3\ },\ 3^3$$  

$$3^{3\ }\ ,\ \ \ 5^{-3\ \ },\ \ \left(-6\right)^2\ \ ,\ \ -4^3$$  

Austin is right because when dividing in exponential notation you can subtract the exponents and 3-5 = -2.

Austin is incorrect because when dividing in exponential notation you can subtract the exponents and 3 - -5 = 8. Therefore his answer should be 3^8.

Austin is incorrect because he needed to write his final answer as a positive exponent. The answer should be 1/3^2.

None of the above.

-64p²⁰/ 49r⁶

64p²⁰/ 49r⁶

-8p²⁰/ 14r⁶

-64p¹²/ 49r⁵

$$4p^4+p^3-2p^2$$  

$$4p^4+p^6-2p^4$$  

$$4p^4+p^3+2p^2$$  

$$3p^{14}$$  

$$b^{15}$$  

$$b^{14}$$  

$$b^{84}$$  

$$b^{49}$$  

Positive

Negative

Because negative base with an even exponent is always positive

Because negative base with an odd exponent is always negative

$$-3a^2b^3$$  

$$6a^2b^3$$  

$$3a^3b^3$$  

$$-\frac{1}{3}a^2b^3$$  

1

7

0

70

$$\frac{y^3}{x^2}$$  

$$x^2y^3$$  

$$\frac{x^2}{y^3}$$  

$$\frac{y^3}{x^3}$$  

$$49x^2y^2$$  

$$14x^2y^2$$  

$$49x^3y^3$$  

$$14x^3y^3$$  

$$\frac{18}{x^{10}}$$  

$$18x^3$$  

$$\frac{18}{x^3}$$  

$$\frac{1}{18x^3}$$  

8

1

0

x

$$243m^5n^{35}$$  

$$15m^{10}n^{35}$$  

$$\frac{243n^{35}}{m^5}$$  

$$15m^5n^{35}$$  

$$18x^{10}$$  

$$9x^{10}$$  

$$18x^{25}$$  

$$9x^{25}$$