Exponents

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply a base number by itself.

Front

What does 8^3 represent?

Back

8^3 represents 8 multiplied by itself 3 times, which equals 512.

Front

What is the result of 1^5 and 1^8?

Back

1^5 and 1^8 are equal to 1, as any number raised to any power is still 1.

Front

How do you simplify 10^2 ÷ (3^2 - 2^2)?

Back

First, calculate 3^2 - 2^2 = 9 - 4 = 5. Then, 10^2 = 100, so 100 ÷ 5 = 20.

Front

What is the value of -3^4?

Back

-3^4 equals -81, as the exponent applies to the base -3.

Front

Is (-4)^6 positive or negative?

Back

(-4)^6 is positive because raising a negative number to an even exponent results in a positive value.

Front

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

Back

When multiplying exponents with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

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

Back

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

Front

What is the value of 2^0?

Back

Any non-zero number raised to the power of 0 is equal to 1.

Front

What does it mean to raise a number to a negative exponent?

Back

Raising a number to a negative exponent means taking the reciprocal of the base raised to the absolute value of the exponent: a^(-n) = 1/(a^n).