Exponent Rules Practice

Front

What is the product of powers rule in exponentiation?

Back

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

Tags

CCSS.8.EE.A.1

Front

What is the power of a power rule in exponentiation?

Back

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

Tags

CCSS.8.EE.A.1

Front

What is the power of a product rule in exponentiation?

Back

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

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/(a^n).

Tags

CCSS.8.EE.A.1

Front

How do you simplify (2x^7)^3?

Back

You apply the power of a power rule: (2^3)(x^(7*3)) = 8x^21.

Tags

CCSS.8.EE.A.1

Front

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

Back

Any non-zero number raised to the power of zero is equal to one.

Tags

CCSS.8.EE.A.1

Front

How do you simplify 8y^0?

Back

Since y^0 = 1, 8y^0 simplifies to 8 * 1 = 8.

Front

What is the result of (r^4)^6?

Back

Using the power of a power rule, (r^4)^6 = r^(4*6) = r^24.

Tags

CCSS.8.EE.A.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: a^(-n) = 1/(a^n).

Tags

CCSS.8.EE.A.1