Exponents and Order of Operations

Front

What is an exponent?

Back

An exponent is a number that shows how many times to multiply the base number by itself. For example, in 3^4, 3 is the base and 4 is the exponent.

Front

What does 3^4 equal?

Back

3^4 = 81.

Front

Is 2^5 the same as 2 x 5?

Back

No, 2^5 means 2 multiplied by itself 5 times, which equals 32.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered as PEMDAS.

Front

Calculate (7 + 41) ÷ 2 – 15.

Back

(7 + 41) ÷ 2 – 15 = 9.

Front

What is 5^4?

Back

5^4 = 625.

Front

How can you express 9 x 9 x 9 x 9 x 9 using exponents?

Back

9 x 9 x 9 x 9 x 9 = 9^5.

Front

What is the value of 2^3?

Back

2^3 = 2 x 2 x 2 = 8.

Front

If a^m x a^n = a^(m+n), what does this mean?

Back

This means that when multiplying two powers with the same base, you add the exponents.

Front

What is the value of 10^0?

Back

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