Question

. Evaluate ∛512 - 8​

Answer 1

Answer:

$3512=(512)31</p><p>=((2×2×2)×(2×2×2)×(2×2×2)31</p><p>=(23×23×23)31</p><p>=(29)31=23</p><p>3512=8.</p><p></p><p></p><p>$

3

512

=(512)

3

1

=((2×2×2)×(2×2×2)×(2×2×2)

3

1

=(2

3

×2

3

×2

3

)

3

1

=(2

9

)

3

1

=2

3

3

512

=8.