millieharrisonxx3
millieharrisonxx3 millieharrisonxx3
  • 02-03-2021
  • Mathematics
contestada

mathswatch..........simplify (4ab^2)^3

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jacobEwing
jacobEwing jacobEwing
  • 02-03-2021

Answer:

64a³b⁶

Step-by-step explanation:

Remember that when a number raised to an exponent is raised to yet another exponent, you can simply multiply the exponents.  Also note that this applies to every variable in the expression, as you can think of them all as raised to the power of 1.

In other words, (4ab²)³

is the same as : (4¹a¹b²)³

And you can simply multiply each of the exponents within the brackets by three, giving you:

(4ab²)³

= 4³a³b⁶

= 64a³b⁶

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