Simplify the square root of 5 times the cube root of 5.

five to the five sixths power
five to the one sixth power
five to the two thirds power
five to the seven sixths power

Option 3 - five to the two thirds power

Step-by-step explanation:

Given : Expression 'the square root of 5 times the cube root of 5'.

To find : Simplify the expression ?

Solution :

Writing expression in numeric form,

The cube root of 5 means

The square root of 5 times the cube root of 5 means

Now, simplify the expression

The expression is five to the two thirds power.

Therefore, Option 3 is correct.

x = -2

y = 848

step-by-step explanation:

plug in the numbers

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions