Simplify exponents

Front

What is the rule for simplifying a negative exponent?

Back

To turn a negative exponent positive, you flip the base to the denominator.

Front

What is any non-zero number raised to the zero power?

Back

1

Front

Simplify the expression: 10x^-2

Back

2x^2

Front

Simplify the expression: -3xy^3 . (4xy)^2

Back

-48x^3y^5

Front

Find the missing exponent: 5y^2 . (2y^3)^x = 80y^14

Back

x = 4

Front

What does x^0 equal for any non-zero x?

Back

1

Front

What is the product of powers rule?

Back

When multiplying like bases, add the exponents: a^m * a^n = a^(m+n).

Front

What is the power of a power rule?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the quotient of powers rule?

Back

When dividing like bases, subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the rule for simplifying a fraction with exponents?

Back

Subtract the exponent in the denominator from the exponent in the numerator.