12/16 Flashcard Prep AMPS Exponents & Scientific Notation

Front

What is the value of 4^{-2}?

Back

1/16

Front

How do you write 1/a^{-2} with positive exponents?

Back

a^{2}

Front

Solve: \frac{6 \times 10^6}{2 \times 10^3}

Back

3 \times 10^{3}

Front

Simplify the expression: 3x^{2} \cdot x^{2}

Back

3x^{4}

Front

What is the simplified form of y^{15}?

Back

y^{15}

Front

What is the definition of a negative exponent?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent.

Front

What is the product of two powers with the same base?

Back

Add the exponents: a^{m} \cdot a^{n} = a^{m+n}.

Front

What is the quotient of two powers with the same base?

Back

Subtract the exponents: \frac{a^{m}}{a^{n}} = a^{m-n}.

Front

What is scientific notation?

Back

A way of expressing numbers as a product of a number between 1 and 10 and a power of 10.

Front

Convert 4500 to scientific notation.

Back

4.5 \times 10^{3}