CFU 7.3-7.4 Rational and Negative Exponents

Front

What is a negative exponent?

Back

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

Front

Rewrite the expression 1/(-5)^7 using a negative exponent.

Back

(-5)^-7.

Front

How do you simplify an expression with negative exponents?

Back

Convert negative exponents to positive by taking the reciprocal of the base. For example, x^(-n) = 1/(x^n).

Front

What is the value of any number raised to the power of 0?

Back

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

Front

Rewrite 7^(-10) using a positive exponent.

Back

1/(7^10).

Front

What does the expression (a^m)/(a^n) simplify to?

Back

a^(m-n).

Front

What is the result of multiplying two numbers with the same base but different exponents, such as a^m * a^n?

Back

a^(m+n).

Front

If you have (x^3)^2, how do you simplify it?

Back

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

Front

What is the rule for dividing exponents with the same base, such as a^m / a^n?

Back

Subtract the exponents: a^(m-n).

Front

How do you express a fraction with a negative exponent, such as 1/(x^(-n))?

Back

It can be rewritten as x^n.