laws of exponents

Front

What is the product of 10^1 and 10^-2?

Back

10^(1 + (-2)) = 10^(-1) = 1/10

Front

Simplify: x^5 ÷ x^2

Back

x^(5 - 2) = x^3

Front

What is the result of b^2 ⋅ b^4?

Back

b^(2 + 4) = b^6

Front

How do you express 5 multiplied by itself 7 times using exponents?

Back

5^7

Front

Simplify: (x^3)(x^2)

Back

x^(3 + 2) = x^5

Front

What is the law of exponents for multiplying powers with the same base?

Back

Add the exponents: a^m ⋅ a^n = a^(m+n)

Front

What is the law of exponents for dividing powers with the same base?

Back

Subtract the exponents: a^m ÷ a^n = a^(m-n)

Front

What is the value of (x^0)?

Back

1, for any x ≠ 0

Front

What is the result of (a^m)^n?

Back

a^(m*n) - Multiply the exponents.

Front

What is the value of 10^3?

Back

1000