Exponents

Question 1

What is the Exponent Law Mnemonic Device?

Answer 1

Multiply

Add

Divide

Subtract

Powers

Multiply

MADSPM

Question 2

What is the Multiply - Add Exponent Law?

Answer 2

If two numbers with the same base are being multiplied by a set of exponents, then add the exponents to simplify.

Eg. 5² x 5³ = 5^​5

Question 3

What is the Divide - Subtract Exponent Law?

Answer 3

When two numbers with the same base have exponents and are dividing one by the other, subtract the exponents to simplify.

Eg. 5³/5²​ = 5x5x5/5x5 = 5

Question 4

What is the Power - Multiply Exponent Law?

Answer 4

When an expression with an exponent is raised to another power, multiply the powers together to simplify.

Eg. (6²)³ = (6²)(6²)(6²) = (6x6)(6x6)(6x6) = 6^​6

Question 5

What is the Negative Exponent Law?

Answer 5

When there is a negative exponent, the expression should be put in fraction form with 1 as the numerator and the negative exponent in the denominator becomes positive.

Eg. 8³/8⁵ = 8^{3 - 5} = 8^-2 = 1/8²​ = 1/64

Question 6

What is the Zero Exponent Law?

Answer 6

Any nonzero number raised to a power of 0 is equal to 1.

Eg. 4^{3 - 3} = 4⁰​ = 1

Question 7

Raising a fraction to a power greater than 1 results in…

Answer 7

… a greater number.

Eg. (1/2)²​ = 1/4

Question 8

A negative number raised to an even power results in…

Answer 8

… a positive number

Question 9

A negative number raised to an odd power results in…

Answer 9

… a negative number

Question 10

A number raised to the first power results in…

Answer 10

… the base number itself.