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).

Tags

CCSS.8.EE.A.1

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).

Tags

CCSS.8.EE.A.1

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).

Tags

CCSS.8.EE.A.1

Front

How do you simplify a negative exponent?

Back

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

Tags

CCSS.8.EE.A.1

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).

Tags

CCSS.8.EE.A.1

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.

Tags

CCSS.8.EE.A.1

Front

What is the result of 7^5?

Back

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

Tags

CCSS.6.EE.A.1

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.

Tags

CCSS.8.EE.A.1

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.

Tags

CCSS.6.EE.A.1

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.

Tags

CCSS.6.EE.A.1