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R = R0t⁻⁰.71. Form

Mathematics

ScanSolve AI Answer

Answer

R=R0t0.71R = \frac{R_0}{t^{0.71}}

Step-by-step solution

3 steps
  1. Identify the given equation.

    The equation provided is:

    R=R0t−0.71R = R_0 t^{-0.71}
  2. Rewrite the term with the negative exponent.

    A negative exponent indicates that the base should be moved to the denominator. The general rule is a−n=1ana^{-n} = \frac{1}{a^n}.
    Applying this rule to t−0.71t^{-0.71}, we get:

    t−0.71=1t0.71t^{-0.71} = \frac{1}{t^{0.71}}
  3. Substitute this back into the original equation.

    Substitute the rewritten term back into the equation for RR:

    R=R0(1t0.71)R = R_0 \left(\frac{1}{t^{0.71}}\right) R=R0t0.71R = \frac{R_0}{t^{0.71}}
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