Laws of exponents

Front

How do you express the product of the same number multiplied by itself multiple times using exponents?

Back

You can express it using exponents by writing the base number followed by the exponent, which indicates how many times the base is multiplied by itself.

Front

What is the exponent in the expression 5⁷?

Back

The exponent is 7, which indicates that the base 5 is multiplied by itself 7 times.

Front

What does the quotient rule for exponents state?

Back

The quotient rule states that when dividing two expressions with the same base, you keep the base the same and subtract the exponents.

Front

How do you simplify the expression x⁵ when it is already in its simplest form?

Back

The expression x⁵ is already simplified and cannot be reduced further.

Front

What happens to the exponents when you multiply two expressions with the same base?

Back

When multiplying two expressions with the same base, you add the exponents.

Front

What is the Power to a Power Law in exponents?

Back

The Power to a Power Law states that when raising a power to another power, you keep the base the same and multiply the exponents.

Front

If a base is raised to the zero power, what is the result?

Back

Any non-zero base raised to the zero power equals 1.

Front

What is the result of 2³ × 2⁴?

Back

The result is 2⁷, since you add the exponents (3 + 4).

Front

How do you express the division of two powers with the same base, such as a^m ÷ aⁿ?

Back

You express it as a^m-n by subtracting the exponent of the denominator from the exponent of the numerator.

Front

What is the value of (3²)³?

Back

The value is 3⁶, since you multiply the exponents (2 × 3).