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What is the cube root of -729a^9b^6?

What is the cube root of -729a^9b^6?-example-1
User Aiken
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2 Answers

3 votes

Answer:

-9a³b²

Explanation:

- ³√-729 = -9 → [-9]³

- ³√a⁹ = a³ → [a³]³ (MULTIPLY the exponents)

- ³√b⁶ = b² → [b²]³ (MULTIPLY the exponents)

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**On my channel, I have a video that talks about six unique Rational Exponential Rules. This would qualify because in each set of parentheses, I put "MULTIPLY the exponents". This is part of an exponential rule.

User Steven Siew
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7.5k points
6 votes

Answer:

A

Step-by-step explanation

³√-729a⁹b⁶

³√-729 * ³√a⁹ ³√b⁶ (reduce the index of the radical and exponent with 3)

-³√729a³b²

-³√9³ a³b²

-9a³b²

sorry if you don't if it doesn't help you/or you don't understand (i'm tired sorry if I mess it up)

User Bjartek
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7.9k points