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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?

Rules of Exponents: Power Rule


Simplify \( \left( x^3 \right)^2 \).

Simplify \[\large \left(a^3\right)^2 \div \left(a^2\right)^3. \]

Given \(2^N = 4 ^{10} \), what is the value of \(N\)?

\[ a^3 \times \left( a^{\square} \right)^5 = a^{18} \]

Find the value of \( \square \).

What is the volume of a cube with an edge length of \(a^2\)?


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