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What is the multiplication rule of indices?

The multiplication rule is that when multiplying terms with indices, you add the indices up. In an example, if we had to simplify 3y 2 x 4y 3 then we would first multiply the coefficients together (the numbe...
DK
Answered by Daniel K. • Maths tutor
16824 Views

Find the length of the hypotenuse of a right-angled triangle using i) Pythagoras Theorem ii) Trigonometry. The triangle has sides of lengths 3cm and 4cm and an acute angle of 30 degrees.

Part i Pythagoras Theorem states a 2 = b 2 + c 2 , where a is the hypotenuse.Using this the lengths can be substituted into the equation as b and c, a 2 = 3 2 + 4 2 a 2 = 25a = sqrt(25) = 5cm Part ii Trigono...
ZS
Answered by Zaakir S. • Maths tutor
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expand and simplify: 5(3a+6b)+ 3(7b+a)

first we expand the equation:(5 3a +5 6b) + (3 7b+3 a)now we multiply15a+30b +21b+3anow simplify18a+51b
MR
Answered by Muzaina R. • Maths tutor
2025 Views

3x + x = 12. Find x

Due to the fact that the two 'x' in the question do not have a power (Are not squared or cubed) they can be added. Thus:4x = 12Then we want to find 'x' so we isolate it in the equation. To do this, we need t...
TD
Answered by Tanika D. • Maths tutor
2131 Views

One apple costs 0.56p, if i wanted 12 Apples what would be my total?

Method1) 1 Apple = £0.56 10 Apples = £0.56 x 10 = £5.60 I want 12 Apples, so 10 Apples = £5.60 + 1 Apple = £0.56 + 1 Apple = £0.56 + Total: 12 Apples = £6.72 Method 2) 0.56 x 12 = £6.72 - Grid method multipl...
AM
Answered by Aqeeb M. • Maths tutor
2351 Views