Question
Using laws of exponent, simplify and write the answer in exponential form: $6^{15} \div 6^{10}$

Answer

By the law of exponents,$\mathrm x^\mathrm m\;\div\;\mathrm x^\mathrm n\;=\;\mathrm x^{\mathrm m-\mathrm n}$
By applying this law we have,$6^{15}\;\div\;6^{10}\;=\;6^{15-10}\;=\;6^5$
Hence,$6^{15}\;\div\;6^{10}\;=\;6^5$

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