The value of 4 × 10^4 + 3 x 10^3 + 2 x 10^2 + 7 x 10
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When the operation involves multiplication, add the exponents algebrically.
example: 103 x 104 = 10(3 + 4) = 107
example: 105 x 102 x 10-3 = 10(5 + 2 + (-3)) = 104
When the operation involves division, subtract the divisor exponent from the numerator exponent.
example: 105/103 = 10(5 - 3) = 102
example: 107/1012 = 10(7 - 12) = 10-5
example: 108/10-3 = 10(8 - (-3)) = 1011
example: (106 x 104)/(103 x 102) = 10(6 + 4 - (3 + 2)) = 105
When the operation involves powers or roots, multiply the exponent by the power number or divide the exponent by the power number, respectively.
example: (105)3 = 10(5 x 3) = 1015
example: (10-7)4 = 10-(7 x 4) = 10-28
example: = (104)1/2 = 10(4 x 1/2) = 102
example: = (1020)1/5 = 10(20 x 1/5) = 104
I THINK THIS ANSWER WILL HELP YOU
example: 103 x 104 = 10(3 + 4) = 107
example: 105 x 102 x 10-3 = 10(5 + 2 + (-3)) = 104
When the operation involves division, subtract the divisor exponent from the numerator exponent.
example: 105/103 = 10(5 - 3) = 102
example: 107/1012 = 10(7 - 12) = 10-5
example: 108/10-3 = 10(8 - (-3)) = 1011
example: (106 x 104)/(103 x 102) = 10(6 + 4 - (3 + 2)) = 105
When the operation involves powers or roots, multiply the exponent by the power number or divide the exponent by the power number, respectively.
example: (105)3 = 10(5 x 3) = 1015
example: (10-7)4 = 10-(7 x 4) = 10-28
example: = (104)1/2 = 10(4 x 1/2) = 102
example: = (1020)1/5 = 10(20 x 1/5) = 104
I THINK THIS ANSWER WILL HELP YOU
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