Question

Express (15^3)^-16 as a single exponent of 15

Answer 1

15to the power of -48

Answer 2

Answer:

$\red { (15^{3})^{-16}} \green {= (15)^{-48}}$

Step-by-step explanation:

$(15^{3})^{-16}\\= (15)^{3\times (-16)}$

$\pink {(By \: exponential \:law )}$

$\boxed { \orange { (a^{m})^{n} = a^{m\times n}}}$

$= (15)^{-48}$

Therefore.,

$\red { (15^{3})^{-16}} \green {= (15)^{-48}}$

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