# Study sets matching "algebra rules exponents"

Study sets

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Product of powers

Power of a power

Power of a product

Quotient of powers

If multiplying two numbers with the same base, add the exponen…

If raising a power to a power, multiply the exponents.

Find the power of each factor of the parenthesis and multiply.

If dividing two numbers with the same base, subtract the expon…

Product of powers

If multiplying two numbers with the same base, add the exponen…

Power of a power

If raising a power to a power, multiply the exponents.

Exponent

Base

Product Rule

Quotient Rule

A small number written above and to the right of the base numb…

The base number tells what number is being multiplied.

When you multiply exponential expressions having the same base…

When you divide exponents with the same base, then subtract th…

Exponent

A small number written above and to the right of the base numb…

Base

The base number tells what number is being multiplied.

zero exponents rule

power rule (powers to powers)

negative exponent rule for denominator

product rule

this says that anything raised to the zero power is 1 (ex: a t…

this says that to raise a power to a power you need to multipl…

negative exponents in the denominator get moved to the numerat…

this says multiply two exponents with the same base, you keep…

zero exponents rule

this says that anything raised to the zero power is 1 (ex: a t…

power rule (powers to powers)

this says that to raise a power to a power you need to multipl…

Adding exponents

Dividing exponents

Multiplying exponents

Subtracting exponents

Both the variable and the exponents must be the same. You perf…

As long as the base is the same, you subtract the exponents.

As long as the base is the same, you simply add the exponents.

Same as adding all variables the same, perform the operations,…

Adding exponents

Both the variable and the exponents must be the same. You perf…

Dividing exponents

As long as the base is the same, you subtract the exponents.

Product Rule

Product Rule

Power to a Power Rule

Power to a Power Rule

Abstract: x^m * x^n ~ X^m+n

If you multiply like bases, add the exponents

(X^m)^n ~ X^m * n

If you raise a power to a power, multiply the exponents

Product Rule

Abstract: x^m * x^n ~ X^m+n

Product Rule

If you multiply like bases, add the exponents

Multiplying exponents with the same base

Dividing exponents with the same base

Raising an exponent to a power

Distributive Property of Exponents

If the numbers have the same base, you can add the powers.

If the numbers have the same base, you can subtract the powers.

If a base raised to a power is again raised to another power,…

A multiplication raised to a power can be written as multiple…

Multiplying exponents with the same base

If the numbers have the same base, you can add the powers.

Dividing exponents with the same base

If the numbers have the same base, you can subtract the powers.