Exponents

Front

What is the product of powers rule in 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 power of a power rule in exponents?

Back

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

Tags

CCSS.8.EE.A.1

Front

What is the quotient rule in 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 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 (g^5)^8?

Back

Use the power of a power rule: (g^5)^8 = g^(5*8) = g^40.

Tags

CCSS.8.EE.A.1

Front

How do you simplify x^2 * x^10?

Back

Use the product of powers rule: x^2 * x^10 = x^(2+10) = x^12.

Tags

CCSS.8.EE.A.1

Front

What is the simplified form of (2^8)^2?

Back

Use the power of a power rule: (2^8)^2 = 2^(8*2) = 2^16.

Tags

CCSS.8.EE.A.1

Front

How do you simplify (c^5)(c^3)(c^3)?

Back

Use the product of powers rule: (c^5)(c^3)(c^3) = c^(5+3+3) = c^11.

Tags

CCSS.8.EE.A.1

Front

What is the value of 6^22 when simplified using the quotient rule?

Back

If you have an expression like 6^m / 6^n, you can simplify it to 6^(m-n).

Tags

CCSS.8.EE.A.1