Powers and Roots: Using parentheses

Calculate and indicate the answer:

$(5-2)^2-2^3$

Remember that according to the order of arithmetic operations, exponents precede multiplication and division, which precede addition and subtraction (and parentheses always precede everything).

So first calculate the values of the terms with exponents and then subtract the results:

$(5-2)^2-2^3 =3^2-2^3=9-8=1$Therefore, the correct answer is option C.

1

Calculate and indicate the answer:

$(10^2-2\cdot5):3^2$

10

Calculate and indicate the answer:

$(\sqrt{9}-\sqrt{4})^2\cdot4^2-5^1$

11

Calculate and indicate the answer:

$(\sqrt{100}-\sqrt{9})^2:7$

7

Calculate and indicate the answer:

$5:(13^2-12^2)$

$\frac{1}{5}$

Calculate and indicate the answer:

$(4^2+3^2):\sqrt{25}$

5

Calculate and indicate the answer:

$(\sqrt{25}-2^2)^3+2^3$

9

Indicate whether the equality is true or not.

^{$(5^2+3):2^2=5^2+(3:2^2)$}

Not true

Solve the following question:

$(4^2:8):2+3^2=$

10

Solve the following question:

$(18-10)^2+3^3=$

91

Calculate and indicate the answer:

^{$7:(5^2-\sqrt{16})\cdot3+\sqrt{3}\cdot\sqrt{3}$}

4

Solve the following question:

$3-(5^2:5)^2+7^2=$

27

Calculate and indicate the answer:

^{$(3^2+2^2)^2:(\sqrt{256}-\sqrt{9})-\sqrt{9}\cdot\sqrt{9}$}

4

What is the result of the following power?

$(\frac{2}{3})^3$

$\frac{8}{27}$