Question

Simplify : 2^ 5 2^ 6 = -------- .

Answer 1

2 power 5*2power 6 is equal to

2*2*2*2*2*2*2*2*2*2*2

=4*4*4*4*4*2

=2048

Answer 2

Question :-

Simplify 2⁵×2⁶

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Solution :-

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$\boxed{ {a}^{m} \times {a}^{n} = {a}^{m + n} }$

Using the above exponential rule, we can simplify this easily.

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$\implies{2}^{5} \times {2}^{6} \\ \implies{2}^{5 + 6} \\ \implies {2}^{11}$

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∴ 2⁵×2⁶ = 2¹¹

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✍️ Some more to know

The laws of exponents provide a set of rules that can be used to simplify complex expressions that contain exponents.

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$\boxed{✷ \: Exponential \: Laws \: –}$

${a}^{m} \times {a}^{n } = {a}^{m + n} \\ \\ {a}^{m} \div {a}^{n} = {a}^{m - n} \\ \\ {a}^{m} \times {b}^{m} = {ab}^{m} \\ \\ ( {a}^{m}) {}^{n} = {a}^{mn} \\ \\ {a}^{ - 1} = \frac{1}{a} \\ \\ {a}^{0} = 1$

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⠀⠀⠀⠀⠀✨HOPE IT HELPS✨