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15, Find the product of (2x)^3 and 3x^2 *

6x^5
18x^5
18x^3
24x^5

16. Evaluate: (–2)^2 + 8^2. *

20
60
64
68

17. What law of exponent is illustrated in the expression: (w^4)^2 = w^8? *

power law
product law
quotient law
powers of a product

18. What is the simplest form of (36y^2)^0.

0
1
y^2
36y

19. x^0 + y^0 -2x^0 = ? *


0
1
2
-1

20. The indicated power of (2x)^3 is

2x^3
6x^5
8x^3
6x^9​


Sagot :

15.

[tex] {(2x)}^{3} \times 3 {x}^{2} \\ = 8 {x}^{3} \times 3 {x}^{2} \\ = (8 \times 3) {x}^{3 + 2} \\ = \blue{\boxed{24 {x}^{5} }}[/tex]

16.

[tex] {( - 2)}^{2} + {8}^{2} \\ = 4 + 64 \\ = \blue{ \boxed{68}}[/tex]

17.

[tex] \blue{ \boxed{powers \: of \: a \: product}}[/tex]

18.

[tex] {(36 {y}^{2} )}^{0} = \blue{ \boxed{1}}[/tex]

Explanation: Any number raised to zero is equal to 1.

19.

[tex] {x}^{0} + {y}^{0} - 2 {x}^{0} \\ = 1 + 1 - 2(1) \\ = 2 - 2 \\ = \blue{ \boxed{0}}[/tex]

20.

[tex] {(2x)}^{3} = {2}^{3} {x}^{3} = \blue{ \boxed{8 {x}^{3} }}[/tex]

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