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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
JT
Answered by James T. • Maths tutor
6751 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
ID
Answered by Isabel D. • 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
AK
Answered by Aiman K. • Maths tutor
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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 ...
ML
Answered by Matilda L. • Maths tutor
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How do I solve simultaneous equations? Such as 2x + 4y = 8, 3x + 2y = 8.

There are two easy ways to solve simultaneous equations. Substitution and elimination. In order to work with substitution we must rearrange one equation to be equal to either x or y. In this case, 2x+4y=8, c...
CT
Answered by Cameron T. • Maths tutor
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