PROPERTIES OF EXPONENTS (5)

Front

What is the product of 5^3 and 5^6? (show work)

Back

5^3 ⋅ 5^6 = 5^(3+6) = 5^9.

Front

How do you convert 1/x^-3 to a positive exponent? (show work)

Back

1/x^-3 = x^3.

Front

What is the quotient rule for exponents?

Back

When dividing exponents with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

What happens when you multiply exponents with the same base?

Back

You add the exponents: a^m ⋅ a^n = a^(m+n).

Front

What is the value of x^13 / x^8? (show work)

Back

x^13 / x^8 = x^(13-8) = x^5.

Front

What is the value of (2^3) * (2^4)? (show work)

Back

(2^3) * (2^4) = 2^(3+4) = 2^7.

Front

How do you express x^-2 as a positive exponent?

Back

x^-2 = 1/x^2.

Front

What is the value of (3^2)^3? (show work)

Back

(3^2)^3 = 3^(2*3) = 3^6.

Front

What is the value of 10^0?

Back

Any non-zero number raised to the power of 0 is 1: 10^0 = 1.

Front

What is the value of (5^2) / (5^5)? (show work)

Back

(5^2) / (5^5) = 5^(2-5) = 5^-3.