Photo AI

1. (a) Simplify $n^x \times n^h$ - Edexcel - GCSE Maths - Question 2 - 2020 - Paper 3

Question icon

Question 2

1.-(a)-Simplify-$n^x-\times-n^h$-Edexcel-GCSE Maths-Question 2-2020-Paper 3.png

1. (a) Simplify $n^x \times n^h$. (b) Simplify $\frac{c^4 d^4}{c^2 d}$. (c) Solve $\frac{5x}{2} > 7$. (Total for Question 1 is 5 marks)

Worked Solution & Example Answer:1. (a) Simplify $n^x \times n^h$ - Edexcel - GCSE Maths - Question 2 - 2020 - Paper 3

Step 1

Simplify $n^x \times n^h$

96%

114 rated

Answer

To simplify the expression, we apply the law of exponents, which states that when multiplying like bases, we add the exponents.

Thus, we have:

nx×nh=nx+hn^x \times n^h = n^{x+h}

Step 2

Simplify $\frac{c^4 d^4}{c^2 d}$

99%

104 rated

Answer

To simplify the fraction, we can subtract the exponents of like bases:

  1. For cc: c4−2=c2c^{4-2} = c^2
  2. For dd: d4−1=d3d^{4-1} = d^3

Therefore, the simplified expression is:

c4d4c2d=c2d3\frac{c^4 d^4}{c^2 d} = c^2 d^3

Step 3

Solve $\frac{5x}{2} > 7$

96%

101 rated

Answer

To solve the inequality, we start by eliminating the fraction. Multiply both sides by 2:

5x>145x > 14

Next, divide both sides by 5:

x>145x > \frac{14}{5}

This simplifies to:

x>2.8x > 2.8

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;