1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
11Alexandr11 [23.1K]
3 years ago
11

Simplify

Mathematics
2 answers:
Marta_Voda [28]3 years ago
6 0

Answer:

x⁸y³

Step-by-step explanation:

x⁵ ÷ y² × x³ × y⁵

It will be easier to solve this problem if you first rearrange the expression to associate like terms.

(x⁵ × x³) × (y⁵ ÷ y²)

Now, you can use the rules of exponents: When multiplying, you add exponents; when dividing, you subtract exponents.

x⁵ × x³ = x⁵⁺³ = x⁸  

y⁵ ÷ y² = y⁵⁻² = y³

Thus,

(x⁵ × x³) × (y⁵ ÷ y²) = x⁸y³

jeka57 [31]3 years ago
4 0

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ x^5\div y^2\times x^3\times y^5\implies \cfrac{x^5}{y^2}\cdot x^3\cdot y^5\implies x^5\cdot y^{-2}\cdot x^3\cdot y^5 \\\\\\ x^{5+3}y^{-2+5}\implies x^8y^3

You might be interested in
What is the area of this isosceles triangle.
frez [133]

Answer:

A=672 m²

Step-by-step explanation:

a²+b²=c² (to find h)

14²+b²=50²

196+b²=2,500

b²=2,304

√b²=√2,304

b=48

h=48

(base×height)÷2

(28×48)÷2

1,344÷2

A=672 m²

6 0
3 years ago
A hot tub that holds 300 gallons of water drains at a rate of 8 gallons write an equation that represents how many gallons of wa
Salsk061 [2.6K]

Answer:the number of gallons of water left in the tub after it has drained for x minutes is 300 - 8x

Step-by-step explanation:

A hot tub that holds 300 gallons of water drains at a rate of 8 gallons.

Let x represent the number of minutes for which the hot tub has drained water.

If the hot tub drains 8 gallons of water per minute, it means that in x minutes, the number of gallons of water that the hot tub would have drained is 8x

Therefore, the number of gallons of water left in the tub after it has drained for x minutes would be

300 - 8x

7 0
3 years ago
What is the solution of log(3x − 2)125 = 3?
Reil [10]
log_{3x - 2}125 = 3 \\ (3x - 2)^3 = 125 \\  \sqrt[3]{(3x - 2)^3} = \sqrt[3]{125}  \\ 3x - 2 = 5 \\ 3x = 5 + 2 \\ 3x = 7 \\ x = 7/3
8 0
3 years ago
Solo necesito ayuda con las que están en amarillo las otras ya están realizadas
GalinKa [24]
Solo tienes que divide
4 0
3 years ago
Answer this question please ASAP!!!
Ymorist [56]
17.4%

If helped mark me the brainiest!!
7 0
2 years ago
Other questions:
  • A 26-year-old male is interested in purchasing life insurance. Using the table, determine what the annual premium for a 20-Payme
    7·1 answer
  • Can someone help me with these 2 questions please 100% correct only
    11·1 answer
  • Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2
    11·1 answer
  • What is 10 times as much as 0.2?
    9·2 answers
  • Solve systems by substitution method x + y = 12 3x - y = 20
    11·1 answer
  • I need help note 700 cm is 7 m and 400 4m and 800 cm is 8 m
    7·1 answer
  • What is the equation in slope-intercept form for graph shown?
    13·1 answer
  • lara has 268 colored beads. kira has 100 more beads than lara. blair has 10 fewer beads than kira. how many beads does kira have
    15·1 answer
  • Linear Regression - Christmas Trees
    10·1 answer
  • A trapezoidal prism undergoes a dilation. The surface area of the pre-image is 35 m². The surface area of the image is 315 m². T
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!