Please repeat 4 again I can't see clearly

Chemistry

ScanSolve AI Answer

Answer

(14.2)174(14.2)^{\frac{17}{4}}

Step-by-step solution

3 steps

4) (14.2)4×(14.2)1/4(14.2)^4 \times (14.2)^{1/4}

  1. Apply the exponent rule for multiplication, which states that when multiplying powers with the same base, you add the exponents

    am×an=am+na^m \times a^n = a^{m+n}.

    (14.2)4×(14.2)1/4=(14.2)4+14(14.2)^4 \times (14.2)^{1/4} = (14.2)^{4 + \frac{1}{4}}
  2. Add the exponents.

    To do this, find a common denominator for 4 and 14\frac{1}{4}.

    4+14=164+14=16+14=1744 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{16+1}{4} = \frac{17}{4}
  3. Substitute the sum of the exponents back into the expression.

    (14.2)174(14.2)^{\frac{17}{4}}

    Final answer: (14.2)174\boxed{(14.2)^{\frac{17}{4}}}

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp