6200.07 = 6.2 × 10^c + 7 × 10^d Work out the values of c and d.

Question

6200.07 = 6.2 × 10^c + 7 × 10^d
Work out the values of c and d.

in progress 0
Eva 3 weeks 2022-01-08T06:20:42+00:00 2 Answers 0 views 0

Answers ( )

    0
    2022-01-08T06:21:55+00:00

    Answer:

    b = 3, c = -2

    Step-by-step explanation:

    Given the standard form of the expression with unknown value

    6200.07 = 6.2 × 10^c + 7 × 10^d

    Step 1:

    We will write 6200.07 as a sum of whole number and a decimal.

    6200.07 = 6200+0.07

    Step 2:

    Expressing each term in it standard form.

    6200 = 6.2×10³ ((it has a positive power because it is a value greater than zero)

    0.07 = 7×10^-2 (it has a negative power because it is less than zero)

    6200.07 = 6.2 × 10^3 + 7 × 10^-2

    Comparing with the question, it can be seen that b = 3, c = -2

    0
    2022-01-08T06:22:41+00:00

    Answer: We have c = 3 and d = -2

    Step-by-step explanation:

    We want to solve the equation:

    6200.07 = 6.2×10^c + 7×10^d

    First, we can separate the left number into two pieces:

    6200.07 = 6200 + 0.07 = 6.2×10^c + 7×10^d

    Now we can solve it as:

    6200 = 6.2×10^c

    6200/6.2 = 10^c

    1000 = 10^c

    now we can use that if y = a^x, then ln(y)/ln(a) = x

    here we have:

    c = ln(1000)/ln(10) = 3

    and

    0.07 = 7×10^d

    0.07/7 = 10^d

    0.01 = 10^d

    d = ln(0.01)/ln(10) = -2

     

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )