Simplifying Exponents with Power of a Power Rule
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Rewrite using a single positive exponent.
$$(6^4)^{-5}$$
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Step by Step Written Solution
In this problem, we're asked to rewrite the expression six to the power of four, all raised to the negative five power, using a single positive exponent.
Simplifying Exponents
To solve this, we should first recall the Power of a Power rule for exponents.
According to this rule, when we have a power raised to another power, we multiply the exponents together. So, we'll multiply four and negative five.
Four times negative five equals negative twenty. This gives us six to the power of negative twenty.
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