(9.1 × 109)(7.5 × 102) what is the exponent of the power in scientific notation?

= The exponent is 12

Step-by-step explanation:

(9.1 × 10^9)(7.5 × 10^2)

When multiplying terms in scientific notation, we multiply the numbers in front and add the exponents

(a* 10^b) (c* 10^d) = ac * 10^(b+d)

(9.1 × 10^9)(7.5 × 10^2) = (9.1*7.5) * 10^(9+2)

                                      =68.25 * 10^11

But this is not proper scientific notation.  We can only have 1 number in front of the decimal.  We need to move the decimal 1 place to the right.  That adds 1 to the exponent.

   =68.25 * 10^11  = 6.825 * 10^(11+1)

                             = 6.825 * 10^12

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

if you was gonna solve for a, a is a   < -12