Exponents Flashcard

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself.

Front

What is the base in an expression like 2^3?

Back

The base is the number that is being raised to a power, in this case, 2.

Front

What is the product of powers rule?

Back

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

Front

What is the power of a power rule?

Back

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

Front

What is the negative exponent rule?

Back

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

Front

How do you simplify (3x^3)(2x^8)?

Back

Multiply the coefficients and add the exponents: 3*2 = 6 and 3+8 = 11, so the result is 6x^11.

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one: X^0 = 1.

Front

How do you convert a negative exponent to a positive exponent?

Back

To convert a negative exponent, take the reciprocal of the base: X^-n = 1/X^n.

Front

What is the quotient of powers rule?

Back

When dividing two powers with the same base, subtract the exponents: X^m / X^n = X^(m-n).

Front

What is the value of 2^3?

Back

2^3 = 2 * 2 * 2 = 8.