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Find the quotient 21 π to the power of six π divided by seven ππ.
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In order to answer this question, we need to consider one of the laws of indices: π₯ to the power of π divided by π₯ to the power of π is equal to π₯ to the power of π minus π.
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When we are dividing, we need to subtract the exponents or indices.
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Letβs consider 21 π to the power of six π or π to the power of one divided by seven ππ.
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Well, 21 divided by seven is equal to three.
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π to the power of six divided by π is π to the power of five as six minus one is five.
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And π divided by π is π to the power of zero as one minus one is zero.
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As we know that anything to the power of zero is equal to one, the answer is three π to the power of five.
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21 π to the power of six π divided by seven ππ is three π to the power of five.