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AshhSmith

  • 2 years ago

The length of each side of a square wooden box, in inches, is represented by the expression 6a3. The volume of the box, in cubic inches, is (6a3)3. Which simplified expression represents the volume of the box?

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  1. cwrw238
    • 2 years ago
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    (6a^3)^3 = 6^3* a^(3*3)

  2. cwrw238
    • 2 years ago
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    can you continue with this?

  3. AshhSmith
    • 2 years ago
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    i got 216a^27 ?

  4. cwrw238
    • 2 years ago
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    216 is is correct, but (a^3)^3 = a^(3*3) = a^9

  5. cwrw238
    • 2 years ago
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    one of rule of indices is( a^m)^n = a^mn

  6. cwrw238
    • 2 years ago
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    or you can regard it as (a^3)^3 = a^3 * a^3 * a^3 - adding the exponents this is a^(3+3+3) = a^9

  7. AshhSmith
    • 2 years ago
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    okay i get it now thank you

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