Algebra
Rules of Exponents
True or False:
The product rule states that to multiply two exponents with the same base, we keep the base and multiply the powers. For example,
\[ 2 ^ 2 \times 2 ^ 3 = 2 ^ { 2 \times 3 } . \]
Simplify \[ \large x^8 \div x^2. \]
Which of the following is equivalent to
\[ \large 2^{22} - 2^{21} ? \]
Suppose that
\[ \Large x^{\color{red} {A}}x^{\frac{1}{2}}x^{\frac{1}{4}}x^{\frac{1}{8}}=x.\]
What is the value of \( \color{red} {A} \)?
Simplify \[ \large (-x)^2 \times (-x)^4.\]