Rules of Exponents

Front

What is the product of powers rule in exponents?

Back

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

Front

What is the power of a power rule in exponents?

Back

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

Front

What is the power of a product rule in exponents?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^-n = 1/a^n.

Front

How do you simplify (x^3)(x^4)?

Back

x^3 * x^4 = x^(3+4) = x^7.

Front

How do you simplify (2^3)(2^2)?

Back

2^3 * 2^2 = 2^(3+2) = 2^5.

Front

What is the exponential form of 5 x 5 x 5?

Back

5 x 5 x 5 = 5^3.

Front

How do you convert 1/y^-2 to a positive exponent?

Back

1/y^-2 = y^2.

Front

What is the simplified form of (a^2)(a^3)(a^1)?

Back

a^2 * a^3 * a^1 = a^(2+3+1) = a^6.

Front

What is the value of 10^-2?

Back

10^-2 = 1/10^2 = 1/100.