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Rules of Exponents

Rules of Exponents: Same Base


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,

22×23=22×3. 2 ^ 2 \times 2 ^ 3 = 2 ^ { 2 \times 3 } .

Simplify x8÷x2. \large x^8 \div x^2.

Which of the following is equivalent to

222221? \large 2^{22} - 2^{21} ?

Suppose that

xAx12x14x18=x. \Large x^{\color{#D61F06} {A}}x^{\frac{1}{2}}x^{\frac{1}{4}}x^{\frac{1}{8}}=x.

What is the value of A \color{#D61F06} {A} ?

Simplify (x)2×(x)4. \large (-x)^2 \times (-x)^4.


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