Question

(4.291×10^5)^3& (3.172×10-^3)^6

Answer 1

Yes that is the question please help me thank you so much I will be very happy if you can help

Answer 2

(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

Answer 3

( 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