Photo AI

1. (a) Simplify $n^1 \times n^5$ - Edexcel - GCSE Maths - Question 1 - 2020 - Paper 1

Question 1

$1.-(a)-Simplify-$n^1-\times-n^5$-Edexcel-GCSE Maths-Question 1-2020-Paper 1.png$

1. (a) Simplify $n^1 \times n^5$. (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 $n^1 \times n^5$ - Edexcel - GCSE Maths - Question 1 - 2020 - Paper 1

Step 1

96%

114 rated

Answer

To simplify the expression, we apply the law of exponents that states:

$a^m \times a^n = a^{m+n}.$

Therefore,

$n^1 \times n^5 = n^{1+5} = n^6.$

Step 2

99%

104 rated

Answer

We can simplify this by applying the laws of exponents:

$\frac{c^4}{c^2} = c^{4-2} = c^2$

and

$\frac{d^4}{d^1} = d^{4-1} = d^3.$

Thus, the final simplification is:

$\frac{c^4 d^4}{c^2 d} = c^2 d^3.$

Step 3

96%

101 rated

Answer

To solve this inequality, we start by eliminating the fraction. We can multiply both sides by 2:

$5x > 14.$

Next, we divide both sides by 5:

$x > \frac{14}{5} = 2.8.$

Thus, the solution to the inequality is:

$x > 2.8.$

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;