Question

1. evaluate:

a. 25 + (30÷6)²
answer -----
b. \\(\frac{(6 + 4^2)}{(3^2 - 4)}\\)
answer -----

Explanation:

Step1: Solve part a innermost bracket

$30\div6=5$

Step2: Square the result

$5^2=25$

Step3: Add to 5 inside brackets

$5+25=30$

Step4: Multiply by 2

$2\times30=60$

Step5: Solve part b numerator exponent

$4^2=16$

Step6: Add in numerator

$6+16=22$

Step7: Solve denominator exponent

$3^2=9$

Step8: Multiply in denominator

$9\times4=36$

Step9: Simplify the fraction

$\frac{22}{36}=\frac{11}{18}$

Answer:

a. $60$
b. $\frac{11}{18}$