Exponent rules and converting between standard form and scientific notation for middle school math.
35 cards · basic cards · AI-written, checked twice. Edit anything.
- What is an exponent?
- A number that tells how many times to multiply a base by itself
- In the expression 2^5, what is the base?
- 2
- In the expression 2^5, what is the exponent?
- 5
- What does any nonzero number to the power of 1 equal?
- The number itself
- What does any nonzero number to the power of 0 equal?
- 1
- State the product rule for exponents.
- When multiplying powers with the same base, add the exponents. x^a · x^b = x^(a+b)
- Simplify x^3 · x^4
- x^7
- Simplify 2^5 · 2^3
- 2^8
- State the quotient rule for exponents.
- When dividing powers with the same base, subtract the exponents. x^a / x^b = x^(a-b)
- Simplify y^7 / y^2
- y^5
- Simplify 5^9 / 5^4
- 5^5
- State the power rule for exponents.
- When raising a power to a power, multiply the exponents. (x^a)^b = x^(ab)
- Simplify (m^3)^4
- m^12
- State the product to a power rule.
- (ab)^n = a^n · b^n
- State the quotient to a power rule.
- (a/b)^n = a^n / b^n