Simplify and show your work (6x^-2)^2 (0.5x)^4

0.000054

Step-by-step explanation:

(6x^-2)^2(0.5x)^4

    V             V

6x^-2=0.03x   0.5x^4=0.06

     V                           V

0.03x^2             0.06

    V                     V

     0.0009x . 0.06

                      V

                     0.000054                                       HAVE A NICE DAY

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: