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What is 64^(2/3)?

When the index of a number is a fraction such as 2/3, first take the cubic root, then square the number. For example: 64 1/3 = cube root of 64(64 1/3 ) 2 = 64 2/3 64 2/3 =( 64 1/3 ) 2 = (4) 2 = 16
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Answered by James T. • Maths tutor
6758 Views

solve the simultaneous equations x^2 + y^2 = 5 and 3x+1=y

Substitute in y to the first equationx 2 + (3x+1) 2 = 510x 2 + 6x - 4 = 55x 2 +3x-2=0(5x-2)(x+1)x=2/5 or -1Sub these values of x into the first equationy=11/5 and -2
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Answered by Isabel D. • Maths tutor
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How do I find 28% of 160?

To find more complicated percentages, we need to first be able to convert percentages into fractions. To do this, we take 100 as the denominator and the percentage as the numerator, so 28% = 28/100. Now we c...
AK
Answered by Aiman K. • Maths tutor
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How do I solve the equation 5y+18=3y+4?

First collect the like terms on one side.(-3y) 2y+18=4Then solve as a normal equation.(-18) 2y=-14(÷2) y=-7
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Answered by Aiman K. • Maths tutor
3358 Views

The area of square ABCD is 10 cm^2 . Show that x^2 + 6x = 1 (requires diagram which I will draw on the whiteboard).

The area of a square is the length of one side squared (multiplied by itself), so for a square with side length 3, the area will be 3 2 or 3 x 3, which = 9. For a square with side length x, the area will be ...
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Answered by Matilda L. • Maths tutor
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