Evaluate for x = 3 and y = 4: x^-2y^2/x^0y^3 1/36 4/9 1024/9

Step-by-step explanation:

Evaluating the numerator and denominator before evaluating

Using the rule of exponents

⇔ , = 1

Thus

y² ← substitute values into expression

= × 4² = × 16 =

and denominator

= 1 × 4³ = 1 × 64 = 64

Now dividing

÷ 64

= × ( cancel 16 and 64 )

= =

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm