Question

S=10⁽¹.⁵⁹⁻¹.³⁵ᵗ⁾ to its equivalent power form s=abᵗ cimal places.

Answer 1

To write the expression s = 10^(1.59 - 1.35t) in its equivalent power form s = ab^t, we need to rewrite the base 10 exponent to the form 10^x which can be expressed as a = 10^(1.59) and b = 10^(-1.35) by isolating the exponent term of the base 10.

Step-by-step explanation:

To write the expression s = 10^(1.59 - 1.35t) in its equivalent power form s = ab^t where a and b are constants, we need to rewrite the base 10 exponent to the form 10^x which can be expressed as a = 10^(1.59) and b = 10^(-1.35) by isolating the exponent term of the base 10.

So, the equivalent power form of the given expression is s = 10^1.59 * 10^(-1.35t). This can be further simplified as s = 10^(1.59 - 1.35t) since multiplying the same base with different exponents is equivalent to adding the exponents.

In conclusion, the equivalent power form of the given expression is s = 10^1.59 * 10^(-1.35t).