(4.291×10^5)^3& (3.172×10-^3)^6
3 answers
Yes that is the question please help me thank you so much I will be very happy if you can help
(4.291*10^5)^3 + (3.172*10^-3)^6 ?????
= 4.291^3 *10^15 + 3.172^6 * 10*-18
= 79 *10^15 + [around 1000 * 10^-18]<--- forget this, 10^-15 is too tiny
so stick to 79 * 10^15
= 4.291^3 *10^15 + 3.172^6 * 10*-18
= 79 *10^15 + [around 1000 * 10^-18]<--- forget this, 10^-15 is too tiny
so stick to 79 * 10^15
( x^m)^n = x ᵐ * ⁿ
xᵐ * xⁿ = x ᵐ ⁺ ⁿ
x ᵐ / ⁿ = x ᵐ ⁻ ⁿ
( 10^5 )^3 = ( 10 )^5 * 3 = 10^15
10^1 * ( 10 )^15 = 10^( 1 + 15 ) = 10^16
( 10^-3 )^6 = 10^ ( - 3 * 6 ) = 10^-18
so
( 4.291* 10^5 )^3 = 4.291^3 * ( 10^5 )^3 =79.008814171 * ( 10 )^3 * 5 =
= 7.9008814171 * 10 * ( 10 )^15 = 7.9008814171 * 10^1 * ( 10 )^15 =
7.9008814171 * ( 10 )^( 15 + 1 ) = 7.9008814171 * ( 10 )^16
( 3.172 * 10^-3 )^6 = 3.172^6 * ( 10^-3 )^6 =
1018.589211234484424704 = 1018.589211234484424704 * 10^ ( - 3 * 6 ) =
1.018589211234484424704 * 10^3 10^-18 =
1.018589211234484424704 * 10^ [ 3 + ( -18 ) ] =
1.018589211234484424704 * 10^ ( 3 -18 ) =
1.018589211234484424704 * 10^-15
If your question means:
( 4.291* 10^5 )^3 / ( 3.172 * 10^-3 )^6
then
( 4.291* 10^5 )^3 / ( 3.172 * 10^-3 )^6 =
7.9008814171 * ( 10 )^16 / 1.018589211234484424704 * 10^-15 =
7.9008814171 / 1.018589211234484424704 * ( 10 )^16 / 10^-15 =
7.7566906560148 * ( 10 )^ [ 16 - ( -15 ) ] =
7.756690656 * ( 10 )^ ( 16 +15 ) =
7.756690656 * ( 10 )^31
If your question means:
( 4.291* 10^5 )^3 * ( 3.172 * 10^-3 )^6
then
( 4.291* 10^5 )^3 * ( 3.172 * 10^-3 )^6 =
4.291^3 * ( 10^5 )^3 * 3.172^6 * ( 10^-3 )^6 =
79.008814171 * ( 10 )^ 5 *3 * 1018.589211234484424704 * 10^( - 3 * 6 ) =
7.9008814171 * 10 * ( 10 )^15 * 1.018.589211234484424704 * 10^3 * 10^-18 =
7.9008814171 * 10^1 * ( 10 )^15 * 1.018589211234484424704 * 10^3 * 10^-18 =
7.9008814171 * 1.018589211234484424704 * 10^1 * 10^15 * 10^3 * 10^-18 =
8.0477525707010845418432177680384 * 10^(1 + 15 + 3 - 18) =
8.0477525707010845418432177680384 * 10^1 =
80.477525707010845418432177680384
xᵐ * xⁿ = x ᵐ ⁺ ⁿ
x ᵐ / ⁿ = x ᵐ ⁻ ⁿ
( 10^5 )^3 = ( 10 )^5 * 3 = 10^15
10^1 * ( 10 )^15 = 10^( 1 + 15 ) = 10^16
( 10^-3 )^6 = 10^ ( - 3 * 6 ) = 10^-18
so
( 4.291* 10^5 )^3 = 4.291^3 * ( 10^5 )^3 =79.008814171 * ( 10 )^3 * 5 =
= 7.9008814171 * 10 * ( 10 )^15 = 7.9008814171 * 10^1 * ( 10 )^15 =
7.9008814171 * ( 10 )^( 15 + 1 ) = 7.9008814171 * ( 10 )^16
( 3.172 * 10^-3 )^6 = 3.172^6 * ( 10^-3 )^6 =
1018.589211234484424704 = 1018.589211234484424704 * 10^ ( - 3 * 6 ) =
1.018589211234484424704 * 10^3 10^-18 =
1.018589211234484424704 * 10^ [ 3 + ( -18 ) ] =
1.018589211234484424704 * 10^ ( 3 -18 ) =
1.018589211234484424704 * 10^-15
If your question means:
( 4.291* 10^5 )^3 / ( 3.172 * 10^-3 )^6
then
( 4.291* 10^5 )^3 / ( 3.172 * 10^-3 )^6 =
7.9008814171 * ( 10 )^16 / 1.018589211234484424704 * 10^-15 =
7.9008814171 / 1.018589211234484424704 * ( 10 )^16 / 10^-15 =
7.7566906560148 * ( 10 )^ [ 16 - ( -15 ) ] =
7.756690656 * ( 10 )^ ( 16 +15 ) =
7.756690656 * ( 10 )^31
If your question means:
( 4.291* 10^5 )^3 * ( 3.172 * 10^-3 )^6
then
( 4.291* 10^5 )^3 * ( 3.172 * 10^-3 )^6 =
4.291^3 * ( 10^5 )^3 * 3.172^6 * ( 10^-3 )^6 =
79.008814171 * ( 10 )^ 5 *3 * 1018.589211234484424704 * 10^( - 3 * 6 ) =
7.9008814171 * 10 * ( 10 )^15 * 1.018.589211234484424704 * 10^3 * 10^-18 =
7.9008814171 * 10^1 * ( 10 )^15 * 1.018589211234484424704 * 10^3 * 10^-18 =
7.9008814171 * 1.018589211234484424704 * 10^1 * 10^15 * 10^3 * 10^-18 =
8.0477525707010845418432177680384 * 10^(1 + 15 + 3 - 18) =
8.0477525707010845418432177680384 * 10^1 =
80.477525707010845418432177680384