Simplifying Exponents

Front

What is an exponent?

Back

An exponent is a mathematical notation indicating the number of times a number (the base) is multiplied by itself.

Front

What does the expression a^m * a^n simplify to?

Back

a^(m+n)

Front

How do you simplify the expression (x^a)^b?

Back

x^(a*b)

Front

What is the result of x^0?

Back

1, for any non-zero x.

Front

What is the rule for dividing exponents with the same base?

Back

a^m / a^n = a^(m-n) if a ≠ 0.

Front

What does a negative exponent represent?

Back

a^(-n) = 1/a^n, where a ≠ 0.

Front

How do you simplify the expression x^5 * x^7?

Back

x^(5+7) = x^12.

Front

What is the power of a product rule?

Back

(ab)^n = a^n * b^n.

Front

What is the power of a quotient rule?

Back

(a/b)^n = a^n / b^n, where b ≠ 0.

Front

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

Back

2^(3*2) = 2^6 = 64.