Exponents

Front

What is the value of (9^-2)^3?

Back

1/9^6

Front

Simplify the expression \frac{1}{x^{-7}}.

Back

x^7

Front

What is the result of x^5 \cdot x^2?

Back

x^7

Front

What is the product of X^m and X^n?

Back

X^(m+n)

Front

What is the value of 5^7 x 5^-7?

Back

1

Front

What does a negative exponent indicate?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.

Front

What is the product rule for exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the quotient rule for exponents?

Back

When dividing two powers with the same base, subtract 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 value of x^0?

Back

x^0 = 1 for any x ≠ 0.