Zero and Negative Exponents Review

Front

What is the definition of a negative exponent?

Back

A negative exponent indicates that the base should be taken as the reciprocal and raised to the opposite positive exponent. For example, a^(-n) = 1/(a^n).

Front

Express 1/d^6 using a negative exponent.

Back

d^-6

Front

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

Back

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

Front

Express y^-9 using a positive exponent.

Back

1/y^9

Front

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

Back

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

Front

Simplify the expression y^-9 * y^3.

Back

1/y^6

Front

What does a zero exponent mean?

Back

Any non-zero base raised to the power of zero equals one. For example, a^0 = 1.

Front

How do you express a number with a negative exponent as a fraction?

Back

A number with a negative exponent can be expressed as the reciprocal of the base raised to the positive exponent. For example, a^-n = 1/(a^n).

Front

If the diameter of a bacterium is 10^-16 kilometer, how can this be expressed in standard form?

Back

0.0000000000000001 kilometer.

Front

How many times larger is 0.0001 kilometer than 10^-16 kilometer?

Back

10^12 times larger.