Exponents and definitions

Exponent rules

100

What is the definition of zero exponent 

hint: power of zero

Any nonzero number raised to a power of 0 is equal to one.

200

what is the definition of a negative exponent?

the base must be written as its reciprocal, and then the exponent will become positive.

300

what is the definition of products of powers property?

hint: square roots matter

When multiplying 2 powers with the same base and different exponents, add the exponents.

400

What is the definition of power of power property?

hint:has parentheses in its equation

When a power is raised to another power, multiply the exponents.

500

What is the definition of the quotient of powers property?

hint:involves subtraction.

When two numbers have the same base, divide the numbers by keeping the common base and subtracting the exponents.

Negative exponents

100

What is 2x^-7

1/2x⁷

200

1/3^-2

3²

300

hard question

5^-2/6^-4

hint:when there are 2 negative numbers in a fraction, flip the fraction and turn the negitives to positives.

6⁴/5²

400

2x^-3

1/2x³

500

5x^-9

1/5x⁹

dividing exponents

100

6¹⁵/6¹¹

6⁴

200

20²/13²

7²

300

14²/7²

7²

400

7^x/4^x

3^x

500

Y⁶/y¹⁰

1/y⁴

multiplying exponents

100

(17⁵)⁶

17³⁰

200

(Y⁵)³

y¹⁵

300

(Xy³)³

Xy⁹

400

(10^x)^y

10^xy

500

(Y¹¹)²

Y²²

Other equations

100

5⁷/5³

5⁴

200

3⁴/2⁴

1⁴

300

(4x⁷)³

4x²¹

400

2x^-9

1/2x⁹

500

5x^-7

1/5x⁷