Unit 2 test: Exponents and Scientific Notation

Write $2^3 \cdot 2^6$ as a single power $2^n$. What is $n$?

Write $(x^4)^5$ as a single power $x^n$. What is $n$?

Which expression is equal to $(3a^2b)^3$?

Evaluate $12^0 + 3^{-1}$.

Evaluate $10^{-3}$. Give your answer as a decimal.

Evaluate $\dfrac{5^{-4} \cdot 5^{7}}{5^{2}}$.

Write $6.02 \times 10^5$ in standard form.

Which shows $0.00047$ in scientific notation?

Which number is the greatest?

A star is about $6 \times 10^9$ kilometers away from a comet and about $2 \times 10^6$ kilometers away from a nearby planet. About how many times as far away is the comet as the planet?

Find $(4 \times 10^6)(7 \times 10^{-2})$. Written in scientific notation, the answer is $2.8 \times 10^n$. What is $n$?

Find $\dfrac{6.3 \times 10^8}{9 \times 10^3}$. Give the answer in standard form.

Find $(5.4 \times 10^7) + (3 \times 10^6)$.

A human heart beats about $1 \times 10^5$ times per day. About how many times does it beat in $4 \times 10^4$ days (a little over 100 years)? Give the answer in standard form.