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3 (a) Find the value of y - OCR - GCSE Maths - Question 3 - 2017 - Paper 1

Question 3

3 (a) Find the value of y. 5 × 5 × 5 × 5 × 5 × 5 × 5 = 5^y (b) Find the values of z. z^2 = 196

Worked Solution & Example Answer:3 (a) Find the value of y - OCR - GCSE Maths - Question 3 - 2017 - Paper 1

Step 1

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Answer

To solve for y, we first note that multiplying 5 by itself seven times can be expressed as:

$5^7 = 5^y$

Since the bases are the same, we can set the exponents equal:

$y = 7$

Thus, the value of y is 7.

Step 2

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Answer

We start with the equation:

$z^2 = 196$

To find z, we take the square root of both sides:

$z = ext{±} \sqrt{196}$

Calculating the square root gives us:

$z = ext{±} 14$

Therefore, the values of z are 14 and -14.

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