Standard form of (1.5*(10)6th power)/(2.5*10 -4th power)
1.5 ∙ 10⁶ / ( 2.5 ∙ 10⁻⁴ ) = ( 1.5 / 2.5 ) ∙ 10⁶ / 10⁻⁴ =
0.6 ∙ 10⁶ / ( 1 / 10⁴ ) = 6∙ 10⁻¹ ∙ 10⁶ ∙ 10⁴ = 6 ∙ 10 ⁻¹ ⁺ ⁶ ⁺ ⁴ = 6 ∙ 10⁹
The right is (10 )9thpower
To express the given expression in standard form, we need to simplify the expression and convert any numbers to scientific notation.
Let's start by simplifying the expression:
(1.5 * 10^6) / (2.5 * 10^-4)
In division, we can rewrite the expression as a multiplication using the reciprocal of the denominator:
(1.5 * 10^6) * (1 / (2.5 * 10^-4))
To multiply the numbers, we multiply the coefficients and add the exponents:
(1.5 / 2.5) * (10^6 * 10^4)
The coefficients can be simplified:
0.6 * (10^10)
Now, we can express 0.6 * 10^10 in scientific notation:
0.6 * 10^10 = 6 * 10^9
Therefore, the standard form of (1.5 * 10^6) / (2.5 * 10^-4) is 6 * 10^9.