Question

1/8*3-³ simplify and write in exponential form

Answer 1

Answer:

1/8×1/3³

1/8×1/27

1/216

=(1/6)³

Answer 2

Given,

1/8 × 3^-3

To find,

The value of 1/8 × 3^-3 in exponential form after solving it.

Solution,

The value of 1/8 × 3^-3 in exponential form after solving it will be 6^-3.

We can easily solve this problem by following the given steps.

According to the question,

1/8 × 3^-3

1/8 × 1/3³ ( Using the law of exponent: if we have power in negative then it can become positive by reversing the fraction)

1/8 × 1/(3×3×3) [ Converting the exponential form into the standard form]

1/8 × 1/27

1/216

Using the prime factorization method, we have

216 = 2×2×2×3×3×3

216 = 2³ × 3³

or it can be written as 216 = 6³ ( Using the law of exponent: if the powers are the same then the base of numbers gets multiplied.)

So, we have

1/8 × 3^-3 = 1/6³

Now, reversing the fraction, we get

6^-3

Hence, the value of 1/8 × 3^-3 in exponential form after solving it is 6^-3.