Exponent Rules

Front

What is the product of (2x^5)(6x^4)?

Back

12x^9 (Multiply coefficients: 2*6=12; Add exponents: 5+4=9)

Front

What is the value of x^0?

Back

1 (Any non-zero number raised to the power of 0 is 1)

Front

What is the quotient of x^m / x^n?

Back

x^(m-n) (Subtract the exponents when dividing like bases)

Front

What is the power of a power rule?

Back

(x^m)^n = x^(m*n) (Multiply the exponents)

Front

What is the product of powers rule?

Back

x^m * x^n = x^(m+n) (Add the exponents when multiplying like bases)

Front

What is the quotient of powers rule?

Back

x^m / x^n = x^(m-n) (Subtract the exponents when dividing like bases)

Front

What is the value of any number raised to the first power?

Back

The number itself (x^1 = x)

Front

What is the value of 0 raised to any positive power?

Back

0 (0 raised to any positive exponent is 0)

Front

What is the value of a negative exponent, such as x^-n?

Back

1/x^n (A negative exponent indicates the reciprocal of the base raised to the positive exponent)

Front

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

Back

x^(3*2) = x^6 (Use the power of a power rule)