# Question Video: Simplifying Algebraic Fractions Mathematics

Find the quotient 21πβΆπ/7ππ.

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### Video Transcript

Find the quotient 21 π to the power of six π divided by seven ππ.

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. When we are dividing, we need to subtract the exponents or indices.

Letβs consider 21 π to the power of six π or π to the power of one divided by seven ππ. Well, 21 divided by seven is equal to three. π to the power of six divided by π is π to the power of five as six minus one is five. And π divided by π is π to the power of zero as one minus one is zero.

As we know that anything to the power of zero is equal to one, the answer is three π to the power of five. 21 π to the power of six π divided by seven ππ is three π to the power of five.