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# OCR GCSE Maths Power Powers are a way of representing numbers or variables that are being multiplied by themselves. The small floating number at the top of the number or variable is called its power. To multiply powers, the multiplication rule is used. The multiplication rule states that when terms are multiplied, the powers of the terms are added together. This rule is used on all types of powers, whether they are positive, negative or fractional. To divide powers, the division rule is used. The division rule states that when terms are divided, the powers of the terms are subtracted. To raise a power by a power, the power rule is used. The power rule states that to raise a power by a power, the two powers must be multiplied together. The power of zero rule states that anything raised to the power of zero is 1. When a term has a fractional power, it can be converted to a root. When the power is 1/b, the b-th root is taken. When the fractional power has a numerator other than 1, ie. c/b, the term is raised to the power of c and the b-th root is taken. # ✅

Simplify the following expression: 3 × q × q × z × z × z. # ✅

Write 11a⁶b³ as a product of all its factors. # ✅

Using the multiplication rule, explain why w × w × w = w³. # ✅

Simplify the following: 11 × w⁻² × w⁵ʹ². # ✅

Given that 4 × 2 × 32 = 2ˢ, find s. # ✅

Give the following as a single term: 40a⁹ ÷ 5a⁵. # ✅

Given that 25 × 5ˢ = 625, find s. # ✅

The volume of the given cuboid is 45k²⁰. Calculate the unknown side. # ✅

Simplify (3w⁶)² − (w³)⁴. # ✅

Simplify (2s²)³ × (3s⁴p)² ÷ (2s²)². # ✅

Simplify 5x⁰. # ✅

Simplify 12w³/6ww². # ✅

Simplify (2q³)²/4qq⁵. # ✅

Calculate 32²ʹ⁵. # ✅

Simplify x⁸ × (1/16)⁰ × 49¹ʹ². # ✅

Find the area of the given rectangle.  Have you found the questions useful?