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# Rules of Exponents

Adding 10 to itself 10 times gives 100, but how can we represent 10 multiplied to itself 10 times?

**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 \[ \large (-x)^2 \times (-x)^4.\]

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