Laws of Exponents

Front

What is the product rule of exponents?

Back

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

Front

What is the quotient rule of exponents?

Back

When dividing two expressions 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 an exponent to another exponent, multiply the exponents: (a^m)^n = a^(m*n).

Front

How do you simplify a negative exponent?

Back

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

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

How do you simplify the expression 4^5 / 4^7?

Back

Using the quotient rule, this simplifies to 4^(5-7) = 4^(-2) = 1/16.

Front

What is the result of 7^5?

Back

7^5 is simply 7 raised to the power of 5, which equals 16807.

Front

How do you express 4^3 * 4^5 in exponent form?

Back

Using the product rule, this simplifies to 4^(3+5) = 4^8.

Front

What does it mean to leave an expression in exponent form?

Back

Leaving an expression in exponent form means not converting it to a numerical value, but rather expressing it as a power.

Front

What is the significance of the base in exponentiation?

Back

The base is the number that is being multiplied by itself, and it determines the value of the exponentiation.