Flashcard F exponents

Front

What is the power of a power rule in exponents?

Back

When raising a power to another power, multiply the exponents. For example, (x^a)^b = x^(a*b).

Front

What is the quotient rule in exponents?

Back

When dividing two powers with the same base, subtract the exponents. For example, x^a / x^b = x^(a-b).

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one. For example, x^0 = 1 (where x ≠ 0).

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, x^(-a) = 1/x^a.

Front

Calculate (x^2)^4.

Back

x^8.

Front

Simplify 5^6 / 5^2.

Back

5^4.

Front

What is the value of (3x^(-4)y^2)^0?

Back

1.

Front

Calculate 5^(-3).

Back

1/125.

Front

Simplify x^(-4)y^6 / x^5y^5.

Back

y/x^9.

Front

What is the product rule in exponents?

Back

When multiplying two powers with the same base, add the exponents. For example, x^a * x^b = x^(a+b).